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

The answer to sqrt(3x-1)+sqrt(x+4)=3 is x=(23-3sqrt(53))/2

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

The solution is x=(23-3sqrt(53))/2

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3 x - 1 + x + 4 = 3

x = \frac{23 - 3 53}{2}

Decimal Notation

x = 0.57983 \dots

Solution steps

3 x - 1 + x + 4 = 3

Remove square roots

4 x^{2} - 56 x + 196 = 36 x + 144

Solve

4 x^{2} - 56 x + 196 = 36 x + 144 : x = \frac{23 + 3 53}{2}, x = \frac{23 - 3 53}{2}

x = \frac{23 + 3 53}{2}, x = \frac{23 - 3 53}{2}

Verify Solutions:

x = \frac{23 + 3 53}{2}

False

, x = \frac{23 - 3 53}{2}

True

The solution is

x = \frac{23 - 3 53}{2}

x + 3 + x + 2 = 5

y = 1 - y^{2}

2 {x + 1} + x = 7

\frac{1}{x} = 2 b

What is the answer to sqrt(3x-1)+sqrt(x+4)=3 ?
The answer to sqrt(3x-1)+sqrt(x+4)=3 is x=(23-3sqrt(53))/2
Solve for x: sqrt(3x-1)+sqrt(x+4)=3
The solution is x=(23-3sqrt(53))/2