What is the answer to sqrt(x+5)+sqrt(x)=sqrt(7x-3) ?

The answer to sqrt(x+5)+sqrt(x)=sqrt(7x-3) is x=4

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sqrt(x+5)+sqrt(x)=sqrt(7x-3)

x + 5 + x = 7 x - 3

x = 4

Solution steps

x + 5 + x = 7 x - 3

Remove square roots

4 x^{2} + 20 x = 25 x^{2} - 80 x + 64

Solve

4 x^{2} + 20 x = 25 x^{2} - 80 x + 64 : x = 4, x = \frac{16}{21}

x = 4, x = \frac{16}{21}

Verify Solutions:

x = 4

True

, x = \frac{16}{21}

False

The solution is

x = 4

8 x - 1 = 6 x + 13

4 x + 6 = 6 x + 1 - 1

7 + (- 36 - 5 x)^{5} = 250

What is the answer to sqrt(x+5)+sqrt(x)=sqrt(7x-3) ?
The answer to sqrt(x+5)+sqrt(x)=sqrt(7x-3) is x=4
Solve for x: sqrt(x+5)+sqrt(x)=sqrt(7x-3)
The solution is x=4