What is the answer to sqrt(7x+22)-sqrt(x+19)=3 ?

The answer to sqrt(7x+22)-sqrt(x+19)=3 is x=6

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sqrt(7x+22)-sqrt(x+19)=3

7 x + 22 - x + 19 = 3

x = 6

Solution steps

7 x + 22 - x + 19 = 3

Remove square roots

36 x^{2} - 72 x + 36 = 36 x + 684

Solve

36 x^{2} - 72 x + 36 = 36 x + 684 : x = 6, x = - 3

x = 6, x = - 3

Verify Solutions:

x = 6

True

, x = - 3

False

The solution is

x = 6

3 x - 2 = x + 2

(x + 4)^{\frac{1}{2}} = 1

(x + 4)^{\frac{1}{2}} = 0

5 x + 2 5 - x = 9

g + 2 = 2 4 g - 7

What is the answer to sqrt(7x+22)-sqrt(x+19)=3 ?
The answer to sqrt(7x+22)-sqrt(x+19)=3 is x=6
Solve for x: sqrt(7x+22)-sqrt(x+19)=3
The solution is x=6