What is the answer to 0=(x+1)sqrt(x^2+1) ?

The answer to 0=(x+1)sqrt(x^2+1) is x=-1

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

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

x = - 1

Solution steps

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

Switch sides

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x^{2} + 1 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x^{2} + 1 = 0 :

No Solution for

x \in R

x = - 1

Verify Solutions:

x = - 1

True

The solution is

x = - 1

(2 x + 2)^{\frac{1}{4}} + 1 = 3

3 x - 1 + x + 4 = 3

x + 3 + x + 2 = 5

y = 1 - y^{2}

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