SOLUTION: Q=ad^2-cd Solve for d

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Question 876976: Q=ad^2-cd Solve for d
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
ad%5E2-cd-Q=0 and use general solution of a quadratic equation. The completely variablized quadratic equation is not factorable.

d=%28c%2B-+sqrt%28c%5E2-4%2Aa%2A%28-Q%29%29%29%2F%282%2Aa%29
highlight%28d=%28c%2B-+sqrt%28c%5E2%2B4aQ%29%29%2F%282a%29%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Q=ad^2-cd Solve for d


ad%5E2+-+cd+=+Q

ad%5E2+=+Q+%2B+cd

d%5E2+=+%28Q+%2B+cd%29%2Fa

d+=+sqrt%28%28Q+%2B+cd%29%2Fa%29



OR



d+=+%28sqrt%28Q+%2B+cd%29%29%2Fsqrt%28a%29

d+=+%28sqrt%28Q+%2B+cd%29+%2A+sqrt%28a%29%29%2F%28sqrt%28a%29+%2A+sqrt%28a%29%29

d+=+%28sqrt%28a%28Q+%2B+cd%29%29%29%2F%28sqrt%28a%5E2%29%29

highlight_green%28highlight_green%28d+=+%28sqrt%28aQ+%2B+acd%29%29%2Fa%29%29