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

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

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

- x + 5 + 3 x + 4 = 3

x = - \frac{5}{4}

Solution steps

- x + 5 + 3 x + 4 = 3

Remove square roots

16 x^{2} + 64 x + 64 = 108 x + 144

Solve

16 x^{2} + 64 x + 64 = 108 x + 144 : x = 4, x = - \frac{5}{4}

x = 4, x = - \frac{5}{4}

Verify Solutions:

x = 4

False

, x = - \frac{5}{4}

True

The solution is

x = - \frac{5}{4}

3 x + 1 = - 4

4 x - 2 = 2

7 x - 6 = 6

x - x - 3 = 1

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