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

The answer to sqrt(x+1)-sqrt(4x-3)=1 is x= 7/9

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sqrt(x+1)-sqrt(4x-3)=1

x + 1 - 4 x - 3 = 1

x = \frac{7}{9}

Decimal Notation

x = 0.77777 \dots

Solution steps

x + 1 - 4 x - 3 = 1

Remove square roots

9 x^{2} - 18 x + 9 = 16 x - 12

Solve

9 x^{2} - 18 x + 9 = 16 x - 12 : x = 3, x = \frac{7}{9}

x = 3, x = \frac{7}{9}

Verify Solutions:

x = 3

False

, x = \frac{7}{9}

True

The solution is

x = \frac{7}{9}

7 x^{\frac{5}{4}} - 14 = 0

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

2 k + 24 = - 8 - 2 k

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

2 x^{\frac{- 1}{3}} - 2 = 0

What is the answer to sqrt(x+1)-sqrt(4x-3)=1 ?
The answer to sqrt(x+1)-sqrt(4x-3)=1 is x= 7/9
Solve for x: sqrt(x+1)-sqrt(4x-3)=1
The solution is x= 7/9