Question

Use completing the square to solve the equation x^2+16x=-44.

Answer 1

Step-by-step explanation:

our equation is x²+16x = -44

• x²+16x= -44
• x² is the first term so weill have in the middle 2*x* a number
• x²+2*x*8 = -44
• the third term is 8² wich is 64 so we will add it in both sides
• x²+2*x*8+64 = -44+64
• (x+8)² = 20

Now that we have completed the perfect square let's solve the equation

• (x+8)² = 20
• x+8 = $\sqrt{20}$or x+8= -$\sqrt{20}$
• x = -8+$\sqrt{20}$ or x =  -8- $\sqrt{20}$

so the first answer is the correct one

64; 8 +/- $\sqrt{20}$

Answer 2

Rewrite the equation
x^2+16x=-44

Complete the square on the left hand side and add the answer to the right side to balance it
(16/2)^2=(8)^2=64
x^2+16x+64=-44+64

Simplify the equation
(x+8)^2=20

Find the roots of both sides
x+8=4.5 to nearest tenth
x=4.5-8
x=-3.5

Hope it helps