Solve the following quadratic equation using square roots: (x−18)2=196 .(1 point) Responses ​ {−4,−32} ​ left brace negative 4 comma negative 32 right brace {214,−178} left brace 214 comma negative 178 right brace {32,4} left brace 32 comma 4 right brace {21,5}

Answer 1

To solve the equation (x−18)² = 196, we can take the square root of both sides:
√((x−18)²) = √196

This simplifies to:
x−18 = ±14

Now, we can add 18 to both sides to isolate x:
x = 18 ± 14

So the solutions to the quadratic equation are:
x = 18 + 14 = 32
x = 18 - 14 = 4

Therefore, the correct answer is {32, 4}.