Question

A x = ±5

b. x = ±5i
C. x = ±3√√5
d. x = ±3√3
e. x = ±3i√√3
f. x= ±3i√√5

1. x^2+45=0
2. x^2=-25
3. x^2-25=0
4. x^2-45=0
5. x^2=27
6. x^2+27=0

Match the items

Answer 1

1. F (-45 = -9 * 5)
2. B
3. A
4. C
5. D
6. E

Whenever you take the square root of a negative number, we create a complex number i

Answer 2

1f, 2b, 3a, 4c, 5d, 6e

see image

Explanation:

Solve the equations by getting x all by itself on one side. Then, square root to get rid of the exponent.

Any problem where you square root a negative will give you an i in the answer. This is because sqrt(-1) is i. Because i^2 = -1

Also, when you are simplifying square roots for your final answer, look for a perfect square number inside of the radical. Like Sqrt45 can be broken down to

Sqrt9•sqrt5

And because 9 is a perfect square, sqrt9 simplifies to just 3. See image.