What is the solution of 4 plus square root of 5 x plus 66 end root is equal to x plus 10 ?

Subtract 4 from both sides to get √(5x + 66) = x + 6, so x must be at least −6. Squaring gives 5x + 66 = (x + 6)², which simplifies to (x − 3)(x + 10) = 0. The roots are 3 and −10, but −10 does not meet the requirement x ≥ −6; the solution is x = 3, choice B.

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