Solve the following quadratic equation using square roots: (x−18)2=196 .(1 point) Responses {32,4} left brace 32 comma 4 right brace {21,5} left brace 21 comma 5 right brace {−4,−32} left brace negative 4 comma negative 32 right brace {214,−178}
First, let's simplify the equation:
(x−18)²=196
Taking the square root of both sides:
x−18=±√196
x−18=±14
Now, we can solve for x by isolating it:
x=18±14
x=32 or x=4
Therefore, the solution to the quadratic equation is {32, 4}.