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Popular >

5x=40x^{-1/2}

Solution

5 x = 40 x^{- \frac{1}{2}}

Solution

x = 4

Solution steps

5 x = 40 x^{- \frac{1}{2}}

Expand

40 x^{- \frac{1}{2}} : \frac{40}{x ^{\frac{1}{2}}}

5 x = \frac{40}{x ^{\frac{1}{2}}}

Square both sides:

25 x^{2} = \frac{1600}{x}

25 x^{2} = \frac{1600}{x}

Solve

25 x^{2} = \frac{1600}{x} : x = 4

x = 4

Verify Solutions:

x = 4

True

The solution is

x = 4

Popular Examples

x-sqrt(12-4x)=0

x - 12 - 4 x = 0

(3x+1)^{2/3}-15=5

(3 x + 1)^{\frac{2}{3}} - 15 = 5

3 + 2 x + 2 = x

sqrt(42-22x)=2x

42 - 22 x = 2 x

2sqrt(x)-sqrt(2x+1)=1

2 x - 2 x + 1 = 1

Frequently Asked Questions (FAQ)

What is the answer to 5x=40x^{-1/2} ?
The answer to 5x=40x^{-1/2} is x=4
Solve for x: 5x=40x^{-1/2}
The solution is x=4