What is the answer to sqrt(x+1)+sqrt(4x-3)=5 ?

The answer to sqrt(x+1)+sqrt(4x-3)=5 is x=3

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sqrt(x+1)+sqrt(4x-3)=5

x + 1 + 4 x - 3 = 5

x = 3

Solution steps

x + 1 + 4 x - 3 = 5

Remove square roots

9 x^{2} + 126 x + 441 = 400 x - 300

Solve

9 x^{2} + 126 x + 441 = 400 x - 300 : x = \frac{247}{9}, x = 3

x = \frac{247}{9}, x = 3

Verify Solutions:

x = \frac{247}{9}

False

, x = 3

True

The solution is

x = 3

x - 4 x - 5 = 0

x + 2 = 1 + x

\frac{9 x}{( - 4 )} = - 3

x - 7 x - 13 = 3

What is the answer to sqrt(x+1)+sqrt(4x-3)=5 ?
The answer to sqrt(x+1)+sqrt(4x-3)=5 is x=3
Solve for x: sqrt(x+1)+sqrt(4x-3)=5
The solution is x=3