Question

The first few steps in solving the quadratic equation 5x2 + 27x = 14 − 13x by completing the square are shown.

5x2 + 27x = 14 − 13x

5x2 + 40x = 14

5(x2 + 8x) = 14

Which is the best step to do next to solve the equation by completing the square?

5(x2 + 8x + 16) = 30
5(x2 + 8x + 16) = 94
5(x2 + 8x + 4) = 18
5(x2 + 8x + 4) = 34

Answer 1

Answer:

$5(x^2+8x+16)=94$

Step-by-step explanation:

$5(x^2+8x+(\frac{8}{2})^2)=14+5(\frac{8}{2})^2\\ \\ 5(x^2+8x+16)=14+5(16)\\\\5(x^2+8x+16)=14+80\\\\5(x^2+8x+16)=94$