What is the answer to sqrt(4x+5)-sqrt(x+1)=1 ?

The answer to sqrt(4x+5)-sqrt(x+1)=1 is x=-5/9 ,x=-1

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sqrt(4x+5)-sqrt(x+1)=1

4 x + 5 - x + 1 = 1

x = - \frac{5}{9}, x = - 1

Decimal Notation

x = - 0.55555 \dots, x = - 1

Solution steps

4 x + 5 - x + 1 = 1

Remove square roots

9 x^{2} + 18 x + 9 = 4 x + 4

Solve

9 x^{2} + 18 x + 9 = 4 x + 4 : x = - \frac{5}{9}, x = - 1

x = - \frac{5}{9}, x = - 1

Verify Solutions:

x = - \frac{5}{9}

True

, x = - 1

True

The solutions are

x = - \frac{5}{9}, x = - 1

x^{\frac{2}{3}} = 6

7 x + 36 - x + 21 = 3

x + 6 - x - 3 = 1

3 x + 2 = 9

9 = + 81 - y^{2}

What is the answer to sqrt(4x+5)-sqrt(x+1)=1 ?
The answer to sqrt(4x+5)-sqrt(x+1)=1 is x=-5/9 ,x=-1
Solve for x: sqrt(4x+5)-sqrt(x+1)=1
The solution is x=-5/9 ,x=-1