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

The answer to sqrt(x-3)+sqrt(x+4)=sqrt(4x+1) is x=12

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

x - 3 + x + 4 = 4 x + 1

x = 12

Solution steps

x - 3 + x + 4 = 4 x + 1

Remove square roots

4 x^{2} + 4 x - 48 = 4 x^{2}

Solve

4 x^{2} + 4 x - 48 = 4 x^{2} : x = 12

x = 12

Verify Solutions:

x = 12

True

The solution is

x = 12

3 x + 2 = 3 2 x - 2

- \frac{x}{25 - x ^{2}} = 0

2 x + 1 + 1 = x

- \frac{5 x - 2}{3 x ^{\frac{1}{3}}} = 0

9 x + 1 = 8

What is the answer to sqrt(x-3)+sqrt(x+4)=sqrt(4x+1) ?
The answer to sqrt(x-3)+sqrt(x+4)=sqrt(4x+1) is x=12
Solve for x: sqrt(x-3)+sqrt(x+4)=sqrt(4x+1)
The solution is x=12