Solve for cc. Express your answer as an integer or integers or in simplest radical form.minus, 5, c, squared, plus, 4, equals, minus, 81−5c 2 +4=−81
Question
Solve for cc.
Express your answer as an integer or integers or in simplest radical form.
Solution
The given equation is -5c^2 + 4 = -81.
First, let's isolate the term with the variable. We can do this by subtracting 4 from both sides of the equation:
-5c^2 = -81 - 4 -5c^2 = -85
Next, we divide both sides of the equation by -5 to solve for c^2:
c^2 = -85 / -5 c^2 = 17
Finally, we take the square root of both sides to solve for c. Remember that the square root of a number has two possible values, one positive and one negative:
c = sqrt(17) or c = -sqrt(17)
So, the solutions for c are sqrt(17) and -sqrt(17).
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