What is the answer to 10-sqrt(x+5)=sqrt(7x+21) ?

The answer to 10-sqrt(x+5)=sqrt(7x+21) is x=4

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10-sqrt(x+5)=sqrt(7x+21)

10 - x + 5 = 7 x + 21

x = 4

Solution steps

10 - x + 5 = 7 x + 21

Remove square roots

400 x + 2000 = 36 x^{2} - 1008 x + 7056

Solve

400 x + 2000 = 36 x^{2} - 1008 x + 7056 : x = \frac{316}{9}, x = 4

x = \frac{316}{9}, x = 4

Verify Solutions:

x = \frac{316}{9}

False

, x = 4

True

The solution is

x = 4

5 x + 5 = x + 1

x + 3 + 2 - x - x + 8 = 0

5 x = 40

5 x = 20

x - x - 6 = 2 x - 14

What is the answer to 10-sqrt(x+5)=sqrt(7x+21) ?
The answer to 10-sqrt(x+5)=sqrt(7x+21) is x=4
Solve for x: 10-sqrt(x+5)=sqrt(7x+21)
The solution is x=4