What is the answer to sqrt(8x+12)=sqrt(5x+1)+2 ?

The answer to sqrt(8x+12)=sqrt(5x+1)+2 is x=3,x= 11/9

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sqrt(8x+12)=sqrt(5x+1)+2

8 x + 12 = 5 x + 1 + 2

x = 3, x = \frac{11}{9}

Decimal Notation

x = 3, x = 1.22222 \dots

Solution steps

8 x + 12 = 5 x + 1 + 2

Remove square roots

9 x^{2} + 42 x + 49 = 80 x + 16

Solve

9 x^{2} + 42 x + 49 = 80 x + 16 : x = 3, x = \frac{11}{9}

x = 3, x = \frac{11}{9}

Verify Solutions:

x = 3

True

, x = \frac{11}{9}

True

The solutions are

x = 3, x = \frac{11}{9}

2 x + 4 = 0

2 x + 4 = 6

2 x^{\frac{4}{3}} + 8 = 8200

What is the answer to sqrt(8x+12)=sqrt(5x+1)+2 ?
The answer to sqrt(8x+12)=sqrt(5x+1)+2 is x=3,x= 11/9
Solve for x: sqrt(8x+12)=sqrt(5x+1)+2
The solution is x=3,x= 11/9