Question

Solve x^2 - 8x + 3 = 0 by completing the square. Which equation is used in the process? (x - 4)^2 = 0 (x - 4)^2 = 13 (x - 4)^2 = 19

Match the following items by evaluating the expression for x = -3

Answer 1

Hello,
Answer B

x²-8x+3=0
==>x²-2*4*x+16-13=0
==>(x-4)²=13

Answer 2

(x -4)^2 = 13

Explanation:

To solve this equation using the completing the square method;

x^2 - 8x + 3 = 0

The first step is to take +3 to the right-hand side of the equation, 3 becomes negative when it crosses over the equality sign.

The equation becomes;

x^2 - 8x = -3

The next step is to add square of half of the coefficient of x to both-side of the equation. That is; you will add (-4)^2 to both-side of the equation.

x^2 - 8x + (-4)^2= -3 + (-4)^2

Then, we factorize the left hand side of the equation and our equation

(x - 4)^2 = -3 + (-4)^2

The we simplify the right-hand side of the equation

(x - 4)^2 = -3 + 16

(x - 4)^2 = 13