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erik [133]
3 years ago
8

Please help with 1 Math question!!!

Mathematics
1 answer:
musickatia [10]3 years ago
6 0

For this case we must solve the following quadratic equation:

x ^ 2-5x-8 = 0

We use the quadratic formula to find the solutions:

x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}

Where:

a = 1\\b = -5\\c = -8

Substituting we have:

x = \frac {- (- 5) \pm \sqrt {(- 5) ^ 2-4 (1) (- 8)}} {2 (1)}\\x = \frac {5 \pm \sqrt {25 + 32}} {2}\\x = \frac {5 \pm \sqrt {57}} {2}

In this way we have two roots:

x_ {1} = \frac {5+ \sqrt {57}} {2}\\x_ {2} = \frac {5- \sqrt {57}} {2}

Answer:

x_ {1} = \frac {5+ \sqrt {57}} {2}\\x_ {2} = \frac {5- \sqrt {57}} {2}

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