SOLUTION: Make x the subject of the following: y = 2 - x² / 2x² + 3 y = √2x- 3y (the sign before 2x is of square root) 1/a + 1/√x = y

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Question 206033: Make x the subject of the following:
y = 2 - x² / 2x² + 3
y = √2x- 3y (the sign before 2x is of square root)
1/a + 1/√x = y





Answer by Alan3354(30983) About Me  (Show Source):
You can put this solution on YOUR website!
Make x the subject of the following:
Do you mean solve for x?
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y = 2 - x² / 2x² + 3
y%2A%282x%5E2+%2B+3%29+=+2+-+x%5E2
2x%5E2y+%2B+3y+=+2+-+x%5E2
2x%5E2y+%2B+x%5E2+=+2+-+3y
x%5E2%282y%2B1%29+=+2-3y
x%5E2+=+%282-3y%29%2F%282y%2B1%29
x+=+sqrt%28%282-3y%29%2F%282y%2B1%29%29
Sqrt can be ±
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y = √2x- 3y (the sign before 2x is of square root)
How much is under the radical? The 2x, or both terms?
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1/a + 1/√x = y
1%2Fa+%2B+1%2Fsqrt%28x%29+=+y
1+%2B+a%2Fsqrt%28x%29+=+ay
a%2Fsqrt%28x%29+=+ay-1
sqrt%28x%29%2Fa+=+1%2F%28ay-1%29
sqrt%28x%29+=+a%2F%28ay-1%29
x+=+a%5E2%2F%28ay-1%29%5E2