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

The answer to sqrt(3x+1)-sqrt(2x-1)=4 is x=2(39+4sqrt(91))

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

The solution is x=2(39+4sqrt(91))

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3 x + 1 - 2 x - 1 = 4

x = 2 (39 + 491)

Decimal Notation

x = 154.31513 \dots

Solution steps

3 x + 1 - 2 x - 1 = 4

Remove square roots

x^{2} - 28 x + 196 = 128 x - 64

Solve

x^{2} - 28 x + 196 = 128 x - 64 : x = 2 (39 + 491), x = 2 (39 - 491)

x = 2 (39 + 491), x = 2 (39 - 491)

Verify Solutions:

x = 2 (39 + 491)

True

, x = 2 (39 - 491)

False

The solution is

x = 2 (39 + 491)

12 + 4 x = x

8 = 6 x - 2

x = 12 - x

2 x + 6 x + 1 = 3

4 x + 1 = 5

What is the answer to sqrt(3x+1)-sqrt(2x-1)=4 ?
The answer to sqrt(3x+1)-sqrt(2x-1)=4 is x=2(39+4sqrt(91))
Solve for x: sqrt(3x+1)-sqrt(2x-1)=4
The solution is x=2(39+4sqrt(91))