To solve the quadratic equation (x-18)^2 = 196 using square roots, we first need to take the square root of both sides of the equation. This will give us two possible solutions:
(x-18) = ±√196
Simplifying, we have:
(x-18) = ±14
Now we can solve for x:
x-18 = 14 or x-18 = -14
Adding 18 to both sides, we get:
x = 32 or 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
{214,−178}
left brace 214 comma negative 178 right brace
{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
1 answer