What is the answer to sqrt(10+9x)+sqrt(7x+8)=2 ?

The answer to sqrt(10+9x)+sqrt(7x+8)=2 is x=-1

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sqrt(10+9x)+sqrt(7x+8)=2

10 + 9 x + 7 x + 8 = 2

x = - 1

Solution steps

10 + 9 x + 7 x + 8 = 2

Remove square roots

4 x^{2} - 8 x + 4 = 112 x + 128

Solve

4 x^{2} - 8 x + 4 = 112 x + 128 : x = 31, x = - 1

x = 31, x = - 1

Verify Solutions:

x = 31

False

, x = - 1

True

The solution is

x = - 1

5 x = 40 x^{- \frac{1}{2}}

x - 12 - 4 x = 0

(3 x + 1)^{\frac{2}{3}} - 15 = 5

3 + 2 x + 2 = x

42 - 22 x = 2 x

What is the answer to sqrt(10+9x)+sqrt(7x+8)=2 ?
The answer to sqrt(10+9x)+sqrt(7x+8)=2 is x=-1
Solve for x: sqrt(10+9x)+sqrt(7x+8)=2
The solution is x=-1