﻿ What are the roots of 4x^2 + 176 = 0? - AssignmentGrade.com

# What are the roots of 4x^2 + 176 = 0?

QUESTION POSTED AT 29/05/2020 - 01:13 AM

### Answered by admin AT 29/05/2020 - 01:13 AM

Roots are the same as zeros, and you find them by factoring and solving for y.  This one is easiest if done by "taking roots" method.  Let's move the 176 over to the other side and then divide both sides by 4 to get the x^2 alone.  If we do that have we get x^2 = -44.  But we know that we cannot take the square root of a negative number without accounting for it by using the imaginary "i".  Since "i" is equal to -1, let's rewrite that [sqrt-44] as [sqrt(-1)(44)].  Now let's simplify the 44 by finding its perfect square hidden in there: [sqrt(-1)(4)(11)].  Now, because -1 = i^2, we can rewrite that as well like this:
[sqrt(i^2)(4)(11)].  Both the i^2 and the 4 are perfect squares so that's what we pull out, leaving the 11 inside for an answer of x = +/- 2i[sqrt(11)]

## Related questions

### Which value of x is in the solution set of 2(3x-1)≥4x-6

QUESTION POSTED AT 02/06/2020 - 01:40 AM

### Let y=4x^2 find the differential dy when x=5 and dx=0.4

QUESTION POSTED AT 02/06/2020 - 01:22 AM

### The lengths of three sides of a quadrilateral are shown below: Side 1: 3y2 + 2y − 6 Side 2: 3y − 7 + 4y2 Side 3: −8 + 5y2 + 4y The perimeter of the quadrilateral is 4y3 + 18y2 + 16y − 26. Part A: What is the total length of sides 1, 2, and 3 of the quadrilateral? (4 points) Part B: What is the length of the fourth side of the quadrilateral? (4 points) Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer. (2 points) QUESTION 2: A rectangle has sides measuring (4x + 5) units and (3x + 10) units. Part A: What is the expression that represents the area of the rectangle? Show your work to receive full credit. (4 points) Part B: What are the degree and classification of the expression obtained in Part A? (3 points) Part C: How does Part A demonstrate the closure property for polynomials? (3 points) QUESTION 3: A bucket of paint has spilled on a tile floor. The paint flow can be expressed with the function p(t) = 5t, where t represents time in minutes and p represents how far the paint is spreading. The flowing paint is creating a circular pattern on the tile. The area of the pattern can be expressed as A(p) = πp2. Part A: Find the area of the circle of spilled paint as a function of time, or A[p(t)]. Show your work. (6 points) Part B: How large is the area of spilled paint after 2 minutes? You may use 3.14 to approximate π in this problem. (4 points)

QUESTION POSTED AT 01/06/2020 - 04:46 PM

### What is the degree of the polynomial below? 4x^3+3x^2+6x+5

QUESTION POSTED AT 01/06/2020 - 04:46 PM

### Inverse cosine of square root of 3 over 2? cos-1(square root of 3/2)

QUESTION POSTED AT 01/06/2020 - 04:39 PM

### The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the graph? (−9, −2) (−17, −2) (−2, −17) (−2, −9)

QUESTION POSTED AT 01/06/2020 - 04:38 PM

### Given the equation 2x2 - 5x + 7 = 0. Find the discriminant. Describe the roots and explain your reasoning.

QUESTION POSTED AT 01/06/2020 - 04:32 PM

### Which lines are parallel to the graph of 4x – y = 6? Check all that apply.x – 4y = –12y – 2 = –4(x + 1)y + 1 = 4(x – 2)y = 4x + 11y = ￼x – 38x – 2y = 6

QUESTION POSTED AT 01/06/2020 - 04:26 PM

### How could you use Descartes' Rule and the Fundamental Theorem of Algebra to predict the number of complex roots to a polynomial, as well as find the number of possible positive and negative real roots to a polynomial?

QUESTION POSTED AT 01/06/2020 - 04:25 PM

### What is the quotient of -8x^6/4x^-3 ? A. x^9/32 B. 4x^9 C. -12/x^2 D. -2x^9

QUESTION POSTED AT 01/06/2020 - 04:17 PM

### Square root of X+15 plus square root of X = 15. By observation, X=49 but when I square terms to remove radicals I don't get the desired result???

QUESTION POSTED AT 01/06/2020 - 04:11 PM

### Factor completely, then place the factors in the proper location on the grid. 4x 2+ 8xy - 60y 2

QUESTION POSTED AT 01/06/2020 - 04:06 PM

### Determine which of the following is a solution to y > -x^2 + 4x - 6 by graphing. A. (0, -6) B. (0, 0) C. (2, -3) D. (3, -4)

QUESTION POSTED AT 01/06/2020 - 04:05 PM

### If you graph both sides of the equation 2(2x + 3) = 4x + 6, what will the graph look like?

QUESTION POSTED AT 01/06/2020 - 03:57 PM

### A rectangle with an area of x2 – 4x – 12 square units is represented by the model. What side lengths should be used to model the rectangle? (x + 2) and (x – 6) (x + 6) and (x – 2) (x + 2) and (x – 10) (x + 10) and (x – 2)

QUESTION POSTED AT 01/06/2020 - 03:54 PM

### What is the solution to 3 times the square root of 4 minus 2 times he square root of 4

QUESTION POSTED AT 01/06/2020 - 03:51 PM

### What is the positive root of the equation x 2 - 2x = 120

QUESTION POSTED AT 01/06/2020 - 03:49 PM

### Max observes the zoo and the library from a helicopter flying at a height of 100 times square root of 3 feet above the ground, as shown below: *image below* What is the distance between the zoo and the library?

QUESTION POSTED AT 01/06/2020 - 03:39 PM

### What are the values of a, b, and c in the quadratic equation 0=5x-4x^2-2

QUESTION POSTED AT 01/06/2020 - 03:20 PM

### Find the sum of the terms. x/x^2+3x+2 + 3/x+1 The numerator of the simplified sum is... A) x + 3 B) 3x + 6 C) 4x + 6 D) 4x + 2.

QUESTION POSTED AT 01/06/2020 - 03:03 PM

### WILL GIVE BRAINLIEST IF THE ANSWER IS RIGHT! The equation of a line is y = 2x + 3. What is the equation of the line that is parallel to the first line and passes through (2, –1)? A. 4x – 2y = –6 B. y = 2x – 5 C. y = 3x + 4 D. 2x + y = –1

QUESTION POSTED AT 01/06/2020 - 02:44 PM

### According to the rational root theorem which of the following are possible roots of the polynomial function below? Check all that apply f(x)=6x^3-7x^2+2x+8 (answer choices in pic)

QUESTION POSTED AT 01/06/2020 - 02:41 PM

### How to simplify and solve this square root problem

QUESTION POSTED AT 01/06/2020 - 02:25 PM

### What is the domain of the function y= the square root of x+6-7

QUESTION POSTED AT 01/06/2020 - 02:14 PM

### I NEED THIS RIGHT NOW CAN SOMEONE HELP ME (10PTS) Solve (x + 9)2 = 25. 1.Apply the square root property of equality: 2.Isolate the variable. If x + 9 = 5, then x = If x + 9 = –5, then x =

QUESTION POSTED AT 01/06/2020 - 02:02 PM

### If c(x)=4x-2 and d (x)=x^2+5x, what Is (c•d) (x)?

QUESTION POSTED AT 01/06/2020 - 02:01 PM

### (16x^2 - 25) ÷ (4x + 5) DO NOT INCLUDE PARENTHESES IN YOUR ANSWER

QUESTION POSTED AT 01/06/2020 - 01:59 PM

### Describe how to transform (5 square root x^7)^3

QUESTION POSTED AT 01/06/2020 - 01:59 PM

### Evaluate the discriminant for each equation, then use it to determine the nature of the roots for each quadratic equations

QUESTION POSTED AT 01/06/2020 - 01:28 PM

### Which shows the correct substitution of the values a,b,and c from the equation 0=4x^2+2x-1 into the quadratic formula be

QUESTION POSTED AT 01/06/2020 - 12:27 PM