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

The answer to sqrt(2x+1)= 1/2 x+1 is x=4,x=0

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

2 x + 1 = \frac{1}{2} x + 1

x = 4, x = 0

Solution steps

2 x + 1 = \frac{1}{2} x + 1

Multiply both sides by

2

2 x + 1 \cdot 2 = \frac{1}{2} x \cdot 2 + 1 \cdot 2

Simplify

2 x + 1 \cdot 2 = x + 2

Square both sides:

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

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

Solve

8 x + 4 = x^{2} + 4 x + 4 : x = 4, x = 0

x = 4, x = 0

Verify Solutions:

x = 4

True

, x = 0

True

The solutions are

x = 4, x = 0

2 x^{0.8} = x

x + 6 + x - 2 = 4

5 - 2 \cdot x = 2 \cdot x - 3

x, 2 x = x - 3

What is the answer to sqrt(2x+1)= 1/2 x+1 ?
The answer to sqrt(2x+1)= 1/2 x+1 is x=4,x=0
Solve for x: sqrt(2x+1)= 1/2 x+1
The solution is x=4,x=0