Question

Use the Square Root Property to solve the quadratic equation c2+12c+36=121

Answer 1

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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