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

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

Explanation:

`5(x^2+8x+((8)/(2))^2)=14+5((8)/(2))^2\\ \\ 5(x^2+8x+16)=14+5(16)\\\\5(x^2+8x+16)=14+80\\\\5(x^2+8x+16)=94`