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Andreas93 [3]
3 years ago
7

HELP PLEASE asap I behind

Mathematics
1 answer:
Evgen [1.6K]3 years ago
4 0
126 + 9x = 180
180 - 126 = 54
9x = 54
x = 6

mark me brainliest if the answer is correct , thank you in advance :)
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For this case we must solve the following quadratic equation:

x ^ 2 + 2x + 1 = 17

Subtracting 17 from both sides of the equation we have:

x ^ 2 + 2x + 1-17 = 0\\x ^ 2 + 2x-16 = 0

The solution of the equation is given by:

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

Where:

a = 1\\b = 2\\c = -16

Substituting the values we have:

x = \frac {-2 \pm \sqrt {2 ^ 2-4 (1) (- 16)}} {2 (1)}\\x = \frac {-2 \pm \sqrt {4 + 64}} {2}\\x = \frac {-2 \pm \sqrt {68}} {2}\\x = \frac {-2 \pm \sqrt {2 ^ 2 * 17}} {2}\\x = \frac {-2 \pm2 \sqrt {17}} {2}\\x = -1 \pm \sqrt {17}

Thus, we have two roots:

x_ {1} = - 1+ \sqrt {17}\\x_ {2} = - 1- \sqrt {17}

Answer:

x_ {1} = - 1+ \sqrt {17}\\x_ {2} = - 1- \sqrt {17}

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