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neonofarm [45]
3 years ago
6

Solve x^2 +14x=15 by completing the square

Mathematics
2 answers:
ivanzaharov [21]3 years ago
6 0

Answer:

x = -15 and x = 1

Step-by-step explanation:

Since we have to use the complete the square method, we first need to <u>rewrite the equation</u> in the form x^{2}+2ax+a^{2}=(x+a)^{2}.

This results in x^{2} + 14x + 7^{2} = 15 + 7^{2}.

Next, we <u>simplify the equation</u> to get x^{2} +14x+7^{2} = 64.

<u>Factoring </u>the left side gives us (x+7)^{2} = 64.

Finally we <u>solve the equations</u>: x+7=\sqrt{64} and x+7=-\sqrt{64}.

This gives us  x=1, and x=-15

jeyben [28]3 years ago
4 0
X=-15. X=1…..............
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