Solve the following quadratic equation using square roots. Round to the nearest hundredth if necessary ((x + 27) ^ 2)/- 6 = - 3 (point)
To solve the equation ((x + 27) ^ 2)/- 6 = - 3, we will first simplify the equation by multiplying both sides by - 6:
((x + 27) ^ 2)/- 6 * - 6 = - 3 * - 6
Simplifying further:
(x + 27) ^ 2 = 18
Next, we will take the square root of both sides to isolate x + 27:
√((x + 27) ^ 2) = √18
Simplifying:
x + 27 = ±√18
To solve for x, we subtract 27 from both sides:
x = -27 ±√18
Rounded to the nearest hundredth:
x = -27 ± 4.24
Therefore, the solutions to the quadratic equation ((x + 27) ^ 2)/- 6 = - 3 are approximately:
x ≈ -31.24 or x ≈ -22.76
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To solve the equation ((x + 27) ^ 2)/- 6 = - 3, we will first simplify the equation by multiplying both sides by - 6:
((x + 27) ^ 2)/- 6 * - 6 = - 3 * - 6
Simplifying further:
(x + 27) ^ 2 = 18
Next, we will take the square root of both sides to isolate x + 27:
√((x + 27) ^ 2) = √18
Simplifying:
x + 27 = ±√18
To solve for x, we subtract 27 from both sides:
x = -27 ± √18
Rounded to the nearest hundredth:
x = -27 ± 4.24
Therefore, the solutions to the quadratic equation ((x + 27) ^ 2)/- 6 = - 3 are approximately:
x ≈ -31.24 or x ≈ -22.76