Question

Solve x2 + 1 = 0. Question 3 options: A) x = ±0.5 B) No real solution C) x = 0 D) x = ±1

Answer 1

B

Explanation:

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

x² = - 1

no real number when squared gives a negative value.

Thus the equation has no real solution

Answer 2

B

Explanation:

x^2 + 1 = 0

subtract both sides by one.

x^2 + 1 - 1 = 0 - 1

x^2 = -1

put both sides under square root to find the value of x

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

we know that a number inside a square root must always be greater or equal to 0. thus, we don't have a real solution.

✨Extra - It says "no REAL solution" because imaginary solutions exist which are the set of complex numbers in an imaginary coordinate system.