What is the answer to solvefor a,9sqrt(a)+b*sqrt(b)=32 ?

The answer to solvefor a,9sqrt(a)+b*sqrt(b)=32 is a= 1024/81-(64bsqrt(b))/(81)+(b^3)/(81)

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solvefor a,9sqrt(a)+b*sqrt(b)=32

solve for

a, 9 a + b \cdot b = 32

a = \frac{1024}{81} - \frac{64 b b}{81} + \frac{b ^{3}}{81}

Solution steps

9 a + b b = 32

Move

b b

to the right side

9 a = 32 - b b

Divide both sides by

9

a = \frac{32 - b b}{9}

Square both sides:

a = \frac{1024}{81} - \frac{64 b b}{81} + \frac{b ^{3}}{81}

a = \frac{1024}{81} - \frac{64 b b}{81} + \frac{b ^{3}}{81}

Verify Solutions:

a = \frac{1024}{81} - \frac{64 b b}{81} + \frac{b ^{3}}{81}

True

The solution is

a = \frac{1024}{81} - \frac{64 b b}{81} + \frac{b ^{3}}{81}

2 x + 5 + 10 x - 4 = 7

3 3 x - 2 = 5

x^{3} + 3 x^{2} + 3 x - (x - 6)^{\frac{1}{3}} + 8 = 0

\frac{x}{( x - 5 )} + \frac{( x - 5 )}{x} = \frac{21}{6}

2 x + 1 - 3 2 x - 5 = x - 2

What is the answer to solvefor a,9sqrt(a)+b*sqrt(b)=32 ?
The answer to solvefor a,9sqrt(a)+b*sqrt(b)=32 is a= 1024/81-(64bsqrt(b))/(81)+(b^3)/(81)