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 + 5 = x + 1

x + 9 = x - 3

63 - 2 x = x

x + 19 - x + 28 = - 1

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