What is the answer to sqrt(4x+5)-sqrt(3x+1)=1 ?

The answer to sqrt(4x+5)-sqrt(3x+1)=1 is x=5,x=1

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sqrt(4x+5)-sqrt(3x+1)=1

4 x + 5 - 3 x + 1 = 1

x = 5, x = 1

Solution steps

4 x + 5 - 3 x + 1 = 1

Remove square roots

x^{2} + 6 x + 9 = 12 x + 4

Solve

x^{2} + 6 x + 9 = 12 x + 4 : x = 5, x = 1

x = 5, x = 1

Verify Solutions:

x = 5

True

, x = 1

True

The solutions are

x = 5, x = 1

x + 3 = x - 2

4 + x + 4 - x = 4

- 8 x - 5 = - 16

2 x + 1 + 7 = x

9 x^{2} - 5 - 3 x = - 1

What is the answer to sqrt(4x+5)-sqrt(3x+1)=1 ?
The answer to sqrt(4x+5)-sqrt(3x+1)=1 is x=5,x=1
Solve for x: sqrt(4x+5)-sqrt(3x+1)=1
The solution is x=5,x=1