Solve the following quadratic equation using square

Question

roots: (X-18)2 = 196.

Answer 1

To solve the given quadratic equation (X-18)^2 = 196 using square roots, you need to take the square root of both sides of the equation.

Starting with the equation: (X-18)^2 = 196

Taking the square root of both sides:
√((X-18)^2) = √196

Simplifying both sides:
X - 18 = ±14

Now we have two separate equations:
1) X - 18 = 14
2) X - 18 = -14

Solving each equation separately:

For equation 1),
X - 18 = 14
Adding 18 to both sides:
X = 14 + 18
X = 32

For equation 2),
X - 18 = -14
Adding 18 to both sides:
X = -14 + 18
X = 4

Therefore, the solution to the quadratic equation (X-18)^2 = 196 using square roots is X = 32 or X = 4.