To solve the quadratic equation (x-18)^2 = 196, we will take the square root of both sides of the equation. But first, let's simplify the equation:
(x-18)^2 = 196
Taking the square root of both sides:
√((x-18)^2) = ± √196
(x-18) = ±14
Now, we solve for x by isolating it:
For x - 18 = 14:
x = 14 + 18
x = 32
For x - 18 = -14:
x = -14 + 18
x = 4
Therefore, the solutions to the quadratic equation are {32, 4}.
Solve the following quadratic equation using square roots: (x−18)2=196 .(1 point)
Responses
{32,4}
left brace 32 comma 4 right brace
{−4,−32}
left brace negative 4 comma negative 32 right brace
{214,−178}
left brace 214 comma negative 178 right brace
{21,5}
1 answer