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adelina 88 [10]
2 years ago
5

0/1 Solve the equation by completing the square. Round your answer to the nearest hundredth, if necessary x^2+18x=7

Mathematics
1 answer:
11111nata11111 [884]2 years ago
7 0

Answer:

The solution to the equation is x = 0.38 or -18.38

Step-by-step explanation:

x^2+18x=7 can be properly written as

x^{2} +18x =7

To solve by completing the square, divide the coefficient of x by 2, square and then add to both sides

i.e 18/2 = 9

Then add 9² to both sides of the equation

x^{2} +18x + 9^{2} = 7 + 9^{2}

This becomes

(x+9)^{2} = 7 + 81

(x+9)^{2} = 88

x+9 = \pm \sqrt{88}

x = -9 \pm\sqrt{88}

x = -9 \pm 9.38

∴ x = -9+9.38 or -9-9.38

x = 0.38 or -18.38

Hence, x = 0.38 or -18.38

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