Question

Solve x² + 1 = 0.

O A) x = 0
X
B) No real solution
OC) x = 10.5
D) x = ±1
X

Answer 1

B

Explanation:

given the equation

x² + 1 = 0 ( subtract 1 from both sides )

x² = - 1 ( take square root of both sides )

�

2

x

2

= ±

−

1

−1

, that is

x = ±

−

1

−1

since

−

1

−1

is not real

Then the equation has no real solution

Answer 2

B

Explanation:

given the equation

x² + 1 = 0 ( subtract 1 from both sides )

x² = - 1 ( take square root of both sides )

`√(x^2)` = ±
`√(-1)` , that is

x = ±
`√(-1)`

since
`√(-1)` is not real

Then the equation has no real solution