What is the answer to sqrt(8x+9)-sqrt(6x-5)=2 ?

The answer to sqrt(8x+9)-sqrt(6x-5)=2 is x=9,x=5

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sqrt(8x+9)-sqrt(6x-5)=2

8 x + 9 - 6 x - 5 = 2

x = 9, x = 5

Solution steps

8 x + 9 - 6 x - 5 = 2

Remove square roots

4 x^{2} + 40 x + 100 = 96 x - 80

Solve

4 x^{2} + 40 x + 100 = 96 x - 80 : x = 9, x = 5

x = 9, x = 5

Verify Solutions:

x = 9

True

, x = 5

True

The solutions are

x = 9, x = 5

2 x - 1 = 5 x - 10

3 - x = x + 3

80 = 10 x + 14 x^{2} - 10 x + 29

2 x = x^{\frac{1}{2}}

- 12 = - 3 x^{\frac{1}{3}}

What is the answer to sqrt(8x+9)-sqrt(6x-5)=2 ?
The answer to sqrt(8x+9)-sqrt(6x-5)=2 is x=9,x=5
Solve for x: sqrt(8x+9)-sqrt(6x-5)=2
The solution is x=9,x=5