What are the solutions to the equation square root of x squared plus 2 x minus 10 end root is equal to square root of x plus 20 end root ?

Since both sides are square roots, set the expressions inside them equal: x² + 2x − 10 = x + 20. Rearranging gives x² + x − 30 = 0, which factors as (x + 6)(x − 5) = 0, so x = −6 or x = 5. Both values make the radicands equal and nonnegative, so the solutions are −6 and 5, choice B.

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