New Zealand
Level 8 - NCEA Level 3

## Interactive practice questions

Below is the result after using the quadratic formula to solve an equation.

$x=\frac{-3\pm\sqrt{9-4\times56}}{16}$x=3±94×5616

Which of the following is true?

The equation has one real solution.

A

The equation has two real solutions.

B

The equation has complex solutions.

C

The equation has one real solution.

A

The equation has two real solutions.

B

The equation has complex solutions.

C
Easy
Less than a minute

Solve $\left(x+2\right)^2=-36$(x+2)2=36.

Write both roots on the same line, separated by a comma.

Solve $\left(x+1\right)^2=-3$(x+1)2=3.

Write both roots on the same line, separated by a comma.

Solve $\left(x+5\right)^2=-18$(x+5)2=18.

Write both roots on the same line, separated by a comma.

### Outcomes

#### M8-9

Manipulate complex numbers and present them graphically

#### 91577

Apply the algebra of complex numbers in solving problems