Question

Solve the following quadratic by completing the square.

Answer 1

`x = -5 \pm √(26)`

Explanation:

`x^2+10x-1=0\\\\\implies x^2+2\cdot 5 x +5^2-5^2-1=0\\\\\implies (x+5)^2-25-1=0\\\\\implies (x+5)^2 -26=0\\\\\implies (x+5)^2 = 26\\\\\implies x +5 = \pm√(26)\\\\\implies x = -5 \pm √(26)`