Question

What are the solutions to this quadratic equation x2+6x-5=0

Answer 1

Thus, the solutions of the quadratic equation x 2 + 5x + 6 = 0 are x = -2 and x = -3.

Answer 2

See Below.

Explanation:

Quadratic Form:

`a {x}^(2) + bx + c`

Quadratic Formula:

`x = \frac{ - b + - \sqrt{ {b}^(2) - 4ac} }{2a}`

Based on the information given from the question, we can deduce:

a = 1

b = 6

c = -5

Now we can substitute all these values into the formula to find x.

`x = \frac{ - 6 + - \sqrt{ {6}^(2) - 4(1)( - 5)} }{2(1)} \\ = - 3 + √(14) \: or \: - 3 - √(14)`