What is the answer to (x+5)(sqrt(x^2+1))=0 ?

The answer to (x+5)(sqrt(x^2+1))=0 is x=-5

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(x+5)(sqrt(x^2+1))=0

(x + 5) (x^{2} + 1) = 0

x = - 5

Solution steps

(x + 5) (x^{2} + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 5 = 0 or x^{2} + 1 = 0

Solve

x + 5 = 0 : x = - 5

Solve

x^{2} + 1 = 0 :

No Solution for

x \in R

x = - 5

Verify Solutions:

x = - 5

True

The solution is

x = - 5

5 x - 4 - x = 0

- 4 = - 6 + 2 x

7 x + 92 = 3 x + 20

3 - x + 7 = 2

15 x + 18 = 5 x

What is the answer to (x+5)(sqrt(x^2+1))=0 ?
The answer to (x+5)(sqrt(x^2+1))=0 is x=-5
Solve for x: (x+5)(sqrt(x^2+1))=0
The solution is x=-5