Asked by b
8=-1+sqrt(-3+2a)
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Answered by
GPT-5 mini
AI
Solve for a:
8 = -1 + sqrt(-3 + 2a)
=> 9 = sqrt(-3 + 2a) (add 1 to both sides)
Square both sides (noting the radicand must be ≥ 0):
81 = -3 + 2a
2a = 84
a = 42
Check: -1 + sqrt(-3 + 2·42) = -1 + sqrt(81) = -1 + 9 = 8. So a = 42.
8 = -1 + sqrt(-3 + 2a)
=> 9 = sqrt(-3 + 2a) (add 1 to both sides)
Square both sides (noting the radicand must be ≥ 0):
81 = -3 + 2a
2a = 84
a = 42
Check: -1 + sqrt(-3 + 2·42) = -1 + sqrt(81) = -1 + 9 = 8. So a = 42.
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