What is the answer to solvefor a,a+2sqrt(ab)+b=36 ?

The answer to solvefor a,a+2sqrt(ab)+b=36 is a=b+36+12sqrt(b),a=b+36-12sqrt(b)

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solvefor a,a+2sqrt(ab)+b=36

solve for

a, a + 2 ab + b = 36

a = b + 36 + 12 b, a = b + 36 - 12 b

Solution steps

a + 2 ab + b = 36

Remove square roots

4 ab = 2 ab - 72 b + b^{2} - 72 a + a^{2} + 1296

Solve

4 ab = 2 ab - 72 b + b^{2} - 72 a + a^{2} + 1296 : a = b + 36 + 12 b, a = b + 36 - 12 b

a = b + 36 + 12 b, a = b + 36 - 12 b

Verify Solutions:

a = b + 36 + 12 b

True

, a = b + 36 - 12 b

True

The solutions are

a = b + 36 + 12 b, a = b + 36 - 12 b

y, x = 2 5 y

6 x - 1 = 5

x + 6 + 2 x = 9

x^{2} - 7 = x - 1

4 x + 2 = 32 - 32 x

What is the answer to solvefor a,a+2sqrt(ab)+b=36 ?
The answer to solvefor a,a+2sqrt(ab)+b=36 is a=b+36+12sqrt(b),a=b+36-12sqrt(b)