To solve the equation (x+36)^2 - 38 = 251 using square roots, we can first isolate the square term on one side of the equation:
(x+36)^2 = 251 + 38
(x+36)^2 = 289
Next, we take the square root of both sides to eliminate the square on the left side:
(x+36) = ±√289
(x+36) = ±17
Now, we solve for x by removing the 36 from both sides:
x = -36 ± 17
Therefore, the solutions to the quadratic equation are:
x = -36 + 17 = -19
x = -36 - 17 = -53
The solutions are {-19, -53}.
Solve the following quadratic equation using square roots: (x+36)^2−38=251.
{253,−325} left brace 253 comma negative 325 right brace {53,19} left brace 53 comma 19 right brace {17.84,−13.84} left brace 17.84 comma negative 13.84 right brace {−19,−53}
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