To solve the equation using square roots, we can take the square root of both sides of the equation:
√((x−18)^2) = √196
(x−18) = ±√196
(x−18) = ±14
To find the solutions, we can solve the two equations separately:
1) (x−18) = 14
Adding 18 to both sides, we get:
x = 14 + 18
x = 32
2) (x−18) = -14
Adding 18 to both sides, we get:
x = -14 + 18
x = 4
Therefore, the solutions to the equation (x−18)^2=196 are x = 32 and x = 4.
Solve the following quadratic equation using square roots: (x−18)^2=196.
{32,4} left brace 32 comma 4 right brace {214,−178} left brace 214 comma negative 178 right brace {21,5} left brace 21 comma 5 right brace {−4,−32} left brace negative 4 comma negative 32 right brace
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