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

The answer to sqrt(8x+1)=x+2 is x=3,x=1

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sqrt(8x+1)=x+2

8 x + 1 = x + 2

x = 3, x = 1

Solution steps

8 x + 1 = x + 2

Square both sides:

8 x + 1 = x^{2} + 4 x + 4

8 x + 1 = x^{2} + 4 x + 4

Solve

8 x + 1 = x^{2} + 4 x + 4 : x = 3, x = 1

x = 3, x = 1

Verify Solutions:

x = 3

True

, x = 1

True

The solutions are

x = 3, x = 1

4 x^{2} - 3 x - 2 = 2 x - 1

A, m = d A + 3 g

x - 2 x - 8 - 2 = 0

2 x + 5 - x + 6 = - 1

x + 4 = x + 2