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 ( x² + 8 x + 16 ) = 94 Answer : B )

Explanation:

Answer 2

The best step to do next is to add 80 to both sides of equation:
5 ( x² + 8 x ) + 80 = 14 + 80
and since 80 = 5 · 16
5 ( x² + 8 x + 16 ) = 94 Answer : B )
After that we will continue like this:
5 ( x + 4 )² = 94
( x + 4 )² = 18.8 ... etc