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Popular >

sqrt(x+1)=mx+2

Solution

x + 1 = m x + 2

Solution

No Solution for x \in R

Solution steps

x + 1 = m x + 2

Square both sides:

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

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

Solve

x + 1 = m^{2} x^{2} + 4 m x + 4 : x = \frac{- 4 m + 1 + 4 m ^{2} - 8 m + 1}{2 m ^{2}}, x = \frac{- 4 m + 1 - 4 m ^{2} - 8 m + 1}{2 m ^{2}}

x = \frac{- 4 m + 1 + 4 m ^{2} - 8 m + 1}{2 m ^{2}}, x = \frac{- 4 m + 1 - 4 m ^{2} - 8 m + 1}{2 m ^{2}}

Verify Solutions:

x = \frac{- 4 m + 1 + 4 m ^{2} - 8 m + 1}{2 m ^{2}}

False

, x = \frac{- 4 m + 1 - 4 m ^{2} - 8 m + 1}{2 m ^{2}}

False

The solution is

No Solution for x \in R

Popular Examples

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

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

sqrt(3p^2+6)+3=6p

3 p^{2} + 6 + 3 = 6 p

Frequently Asked Questions (FAQ)

What is the answer to sqrt(x+1)=mx+2 ?
The answer to sqrt(x+1)=mx+2 is No Solution for x\in\mathbb{R}