What is the answer to sqrt(7x+36)-sqrt(x+21)=3 ?

The answer to sqrt(7x+36)-sqrt(x+21)=3 is x=4

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sqrt(7x+36)-sqrt(x+21)=3

7 x + 36 - x + 21 = 3

x = 4

Solution steps

7 x + 36 - x + 21 = 3

Remove square roots

36 x^{2} + 72 x + 36 = 36 x + 756

Solve

36 x^{2} + 72 x + 36 = 36 x + 756 : x = 4, x = - 5

x = 4, x = - 5

Verify Solutions:

x = 4

True

, x = - 5

False

The solution is

x = 4

x + 6 - x - 3 = 1

3 x + 2 = 9

9 = + 81 - y^{2}

x + x^{2} + 1 = 0

2 x + 1 = 3 x - 5

What is the answer to sqrt(7x+36)-sqrt(x+21)=3 ?
The answer to sqrt(7x+36)-sqrt(x+21)=3 is x=4
Solve for x: sqrt(7x+36)-sqrt(x+21)=3
The solution is x=4