What is the answer to sqrt(11+10x)+sqrt(8x+9)=2 ?

The answer to sqrt(11+10x)+sqrt(8x+9)=2 is x=-1

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sqrt(11+10x)+sqrt(8x+9)=2

11 + 10 x + 8 x + 9 = 2

x = - 1

Solution steps

11 + 10 x + 8 x + 9 = 2

Remove square roots

4 x^{2} - 8 x + 4 = 128 x + 144

Solve

4 x^{2} - 8 x + 4 = 128 x + 144 : x = 35, x = - 1

x = 35, x = - 1

Verify Solutions:

x = 35

False

, x = - 1

True

The solution is

x = - 1

\frac{x + 4}{x - 3} = 0

x - 3 x^{\frac{1}{2}} + 2 = 0

10 - 2 x = 5

x + \frac{x}{2} - 4 = 0

8 x + 33 = x + 6

What is the answer to sqrt(11+10x)+sqrt(8x+9)=2 ?
The answer to sqrt(11+10x)+sqrt(8x+9)=2 is x=-1
Solve for x: sqrt(11+10x)+sqrt(8x+9)=2
The solution is x=-1