What is the answer to sqrt(5x)+sqrt(14-x)=8 ?

The answer to sqrt(5x)+sqrt(14-x)=8 is x=5

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sqrt(5x)+sqrt(14-x)=8

5 x + 14 - x = 8

x = 5

Solution steps

5 x + 14 - x = 8

Remove square roots

36 x^{2} - 936 x + 6084 = 3584 - 256 x

Solve

36 x^{2} - 936 x + 6084 = 3584 - 256 x : x = \frac{125}{9}, x = 5

x = \frac{125}{9}, x = 5

Verify Solutions:

x = \frac{125}{9}

False

, x = 5

True

The solution is

x = 5

40 x = 5 x + 3

2 h - 5 = 1 - h - 3

8 x^{2} + 144 - 3 x = 0

6 - x = 1 + x - 1

\frac{1}{x ^{\frac{6}{7}}} - 1 = 0

What is the answer to sqrt(5x)+sqrt(14-x)=8 ?
The answer to sqrt(5x)+sqrt(14-x)=8 is x=5
Solve for x: sqrt(5x)+sqrt(14-x)=8
The solution is x=5