Solve the following equation algebraically. Represent your answer in simplest radical form, if necessary.

\[ x^2 + x = 30 \]

x 2 + x = 30 x 2 + x − 30 = 0 x 2 + 6 x − 5 x − 30 = 0 x ( x + 6 ) − 5 ( x + 6 ) = 0 ( x + 6 ) ( x − 5 ) = 0 x + 6 = 0 or x − 5 = 0 x = − 6 x = 5

Answered by kate200468 | 2024-06-10

The equation x 2 + x = 30 can be rearranged to x 2 + x − 30 = 0 and factored to find the solutions. The solutions to the equation are x = − 6 and x = 5 . Both values are in simplest form.
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Answered by kate200468 | 2024-12-23