What is the answer to sqrt(3x+16)-sqrt(2x+9)=1 ?

The answer to sqrt(3x+16)-sqrt(2x+9)=1 is x=0,x=-4

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sqrt(3x+16)-sqrt(2x+9)=1

3 x + 16 - 2 x + 9 = 1

x = 0, x = - 4

Solution steps

3 x + 16 - 2 x + 9 = 1

Remove square roots

x^{2} + 12 x + 36 = 8 x + 36

Solve

x^{2} + 12 x + 36 = 8 x + 36 : x = 0, x = - 4

x = 0, x = - 4

Verify Solutions:

x = 0

True

, x = - 4

True

The solutions are

x = 0, x = - 4

25 - x^{2} = 3

3 x - 1 + 11 = 2 x

x + 5 = 9

x - x - 45 = 3

(x - 1)^{\frac{2}{3}} = 25

What is the answer to sqrt(3x+16)-sqrt(2x+9)=1 ?
The answer to sqrt(3x+16)-sqrt(2x+9)=1 is x=0,x=-4
Solve for x: sqrt(3x+16)-sqrt(2x+9)=1
The solution is x=0,x=-4