What is the answer to sqrt(x+8)-sqrt(7x+9)=-1 ?

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

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sqrt(x+8)-sqrt(7x+9)=-1

x + 8 - 7 x + 9 = - 1

x = 1

Solution steps

x + 8 - 7 x + 9 = - 1

Remove square roots

36 x^{2} + 24 x + 4 = 28 x + 36

Solve

36 x^{2} + 24 x + 4 = 28 x + 36 : x = 1, x = - \frac{8}{9}

x = 1, x = - \frac{8}{9}

Verify Solutions:

x = 1

True

, x = - \frac{8}{9}

False

The solution is

x = 1

a b x

3 x + 1 = 3 x - 5

27 - 9 x = 9

44200 - 2.576 \frac{14700}{n} = 39986

2 x = 4 - x

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