Question

What are all the roots of the equation x^2+6x-9

Answer 1

x = - 3 ± 3
`√(2)`

Explanation:

given the equation x² + 6x - 9 = 0

We can solve for x using the quadratic formula

x = ( - b ±
`√(b^2-4ac )` ) / 2a

with a = 1, b = 6 and c = - 9

x = ( - 6 ±
`√(6^2-(4(1)(-9))` ) / 2

= ( - 6 ±
`√(36+36)` ) / 2

= ( - 6 ±
`√(72)` ) / 2

= ( - 6 ± 6
`√(2)` ) / 2

x = - 3 ± 3
`√(2)`