Question

The quadratic equation x2 + 28 = 64 has two solutions.

Write the of the two smaller solution is X =larger solution is X=

Answer 1

x=-6, 6

Explanation:

Subtract 64 from both sides

x^2-36=0

Uses difference of squares

(x-6)(x+6)

x=-6, 6

Answer 2

X=6 x=6

Explanation:

`x^(2) +28=64`

subtract 28

`x^(2) =36`

Square Root

`\sqrt{x^(2) } =√(36)`

Remember + or -

x=6 or -6