What is the answer to sqrt(4x-1)-sqrt(x-2)=3 ?

The answer to sqrt(4x-1)-sqrt(x-2)=3 is x=(2(7+sqrt(15)))/3

Solve for x: sqrt(4x-1)-sqrt(x-2)=3

The solution is x=(2(7+sqrt(15)))/3

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4 x - 1 - x - 2 = 3

x = \frac{2 ( 7 + 15 )}{3}

Decimal Notation

x = 7.24865 \dots

Solution steps

4 x - 1 - x - 2 = 3

Remove square roots

9 x^{2} - 48 x + 64 = 36 x - 72

Solve

9 x^{2} - 48 x + 64 = 36 x - 72 : x = \frac{2 ( 7 + 15 )}{3}, x = \frac{2 ( 7 - 15 )}{3}

x = \frac{2 ( 7 + 15 )}{3}, x = \frac{2 ( 7 - 15 )}{3}

Verify Solutions:

x = \frac{2 ( 7 + 15 )}{3}

True

, x = \frac{2 ( 7 - 15 )}{3}

False

The solution is

x = \frac{2 ( 7 + 15 )}{3}

0 = - y^{2} - 16

x - 7 = x + 3

x + 5 = - 3

2 x + 15 + 2 = 5

110 x x - x = x

What is the answer to sqrt(4x-1)-sqrt(x-2)=3 ?
The answer to sqrt(4x-1)-sqrt(x-2)=3 is x=(2(7+sqrt(15)))/3
Solve for x: sqrt(4x-1)-sqrt(x-2)=3
The solution is x=(2(7+sqrt(15)))/3