Using the Square Root Property to solve the quadratic equation we have
c = 5,-17.
What is Square Root Property?
Simply put, the square root property asserts that if one side of an equation is a perfect square and the other is a number, then we can solve the problem by taking the square root of both sides and then adding a plus or minus sign to the side containing the number.
Generally, the quadratic equation is mathematically given as
c2+12c+36 = 121
Therefore
(c+6)2 = (11)2
(c+6) = 11 or (c+6) = -11
c = 11-6
Hence, the roots of the equation are
c = 5 or c= -17
In conclusion, the solution for the quadratic equation is
c = 5,-17.
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