The solutions of the given quadratic equation are:
[tex]x = \frac{-7 + \sqrt{17} }{2} \\\\x = \frac{-7 - \sqrt{17} }{2}[/tex]
Here we have the quadratic equation:
[tex]x^2 = -7x - 8[/tex]
To solve it, we can rewrite it as:
[tex]x^2 + 7x + 8 = 0[/tex]
Now if we use Bhaskara's formula, we get the solutions:
[tex]x = \frac{-7 \pm \sqrt{(7)^2 - 4*1*(8)} }{2} \\\\x = \frac{-7 \pm \sqrt{17} }{2}[/tex]
Then the two solutions are:
[tex]x = \frac{-7 + \sqrt{17} }{2} \\\\x = \frac{-7 - \sqrt{17} }{2}[/tex]
If you want to learn more about quadratic equations:
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