Question

Solve -x^2 + 4x +10 = 0 by using the "Solving the square method"

Answer 1

`x = - 2 + √(14) \: \: or \: \: x = - 2 - √(14)`

Explanation:

`{x}^(2) - 4x - 10 = 0 \\ {x}^(2) - 4x = 10 \\ {x}^(2) - 2(2x) = 10 \\ {x }^(2) - 2(2x) + 4 = 10 + 4 \\ {(x + 2)}^(2) = 14 \\ x + 2 = √(14) \: \: \: \: or \: \: \: x + 2 = - √(14)`