What is the answer to 1/3 x^{5/2}-39=42 ?

The answer to 1/3 x^{5/2}-39=42 is x=9

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1/3 x^{5/2}-39=42

\frac{1}{3} x^{\frac{5}{2}} - 39 = 42

x = 9

Solution steps

\frac{1}{3} x^{\frac{5}{2}} - 39 = 42

Multiply both sides by

3

\frac{1}{3} x^{\frac{5}{2}} \cdot 3 - 39 \cdot 3 = 42 \cdot 3

Simplify

x^{\frac{5}{2}} - 117 = 126

Move

117

to the right side

x^{\frac{5}{2}} = 243

Take both sides of the equation to the power of

\frac{2}{5} : x = 9

x = 9

Verify Solutions:

x = 9

True

The solution is

x = 9

\frac{19 x ^{2} - 20 x + 1}{9 x ^{\frac{8}{9}}} = 0

2 x + 3 = 6

4 = x - x + 2

x^{2} - 4 x - 5 = 2 x - 10

2 y + 1 + y - 2 y + 1 - y = 2

What is the answer to 1/3 x^{5/2}-39=42 ?
The answer to 1/3 x^{5/2}-39=42 is x=9
Solve for x: 1/3 x^{5/2}-39=42
The solution is x=9