SOLUTION: find the value of A and B if sqrt(A) x sqrt(B) = 4 sqrt(A) - sqrt(B) = sqrt(8)

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Question 1118034: find the value of A and B if
sqrt(A) x sqrt(B) = 4
sqrt(A) - sqrt(B) = sqrt(8)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find the value of A and B if
sqrt(A) x sqrt(B) = 4
sqrt(A) - sqrt(B) = sqrt(8)
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Note: sqrt(A) = sqrt(B)+sqrt(8)
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Substitute for sqrt(A) and solve for B.
(sqrt(B)+sqrt(8)(sqrt(B)) = 4
B + sqrt(8B) = 4
(sqrt(B))^2 + sqrt(8)*sqrt(B) - 4 = 0
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Use the Quardratic Formula to solve for sqrt(B)
Then solve for B
Then solve for A
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Cheers,
Stan H.
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