Question

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

Answer 1

Answer:

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.

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

Answer 2

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