Solve the following quadratic equation using square
roots: (X-18)2 = 196.
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.