What is the answer to sqrt(5x+1)=sqrt(2x+1)+2 ?

The answer to sqrt(5x+1)=sqrt(2x+1)+2 is x= 56/9

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sqrt(5x+1)=sqrt(2x+1)+2

5 x + 1 = 2 x + 1 + 2

x = \frac{56}{9}

Decimal Notation

x = 6.22222 \dots

Solution steps

5 x + 1 = 2 x + 1 + 2

Remove square roots

9 x^{2} - 24 x + 16 = 32 x + 16

Solve

9 x^{2} - 24 x + 16 = 32 x + 16 : x = \frac{56}{9}, x = 0

x = \frac{56}{9}, x = 0

Verify Solutions:

x = \frac{56}{9}

True

, x = 0

False

The solution is

x = \frac{56}{9}

x + 10 - 1 = x

8 - x + 6 = 3

x + 6 - x = 3

2^{2} + (0)^{2} + x^{2} = 1

a^{2} - x^{2} x = a, θ

What is the answer to sqrt(5x+1)=sqrt(2x+1)+2 ?
The answer to sqrt(5x+1)=sqrt(2x+1)+2 is x= 56/9
Solve for x: sqrt(5x+1)=sqrt(2x+1)+2
The solution is x= 56/9