What is the answer to 5sqrt(x)-sqrt(x-1)=6 ?

The answer to 5sqrt(x)-sqrt(x-1)=6 is x=(38+5sqrt(3))/(24)

Solve for x: 5sqrt(x)-sqrt(x-1)=6

The solution is x=(38+5sqrt(3))/(24)

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5 x - x - 1 = 6

x = \frac{38 + 5 3}{24}

Decimal Notation

x = 1.94417 \dots

Solution steps

5 x - x - 1 = 6

Remove square roots

576 x^{2} - 1680 x + 1225 = 144 x - 144

Solve

576 x^{2} - 1680 x + 1225 = 144 x - 144 : x = \frac{38 + 5 3}{24}, x = \frac{38 - 5 3}{24}

x = \frac{38 + 5 3}{24}, x = \frac{38 - 5 3}{24}

Verify Solutions:

x = \frac{38 + 5 3}{24}

True

, x = \frac{38 - 5 3}{24}

False

The solution is

x = \frac{38 + 5 3}{24}

800 = k + k

x - 9 + x = 9

7 - 4 x + 3 - 2 x = 1

2 x - 3 - x = 0

8 x + 1 = x + 2

What is the answer to 5sqrt(x)-sqrt(x-1)=6 ?
The answer to 5sqrt(x)-sqrt(x-1)=6 is x=(38+5sqrt(3))/(24)
Solve for x: 5sqrt(x)-sqrt(x-1)=6
The solution is x=(38+5sqrt(3))/(24)