NZ Level 7 (NZC) Level 2 (NCEA)

## Interactive practice questions

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

$x=\frac{10\pm\sqrt{-1}}{8}$x=10±18

The equation has two real solutions.

A

The equation has one real solution.

B

The equation has no real solution.

C

The equation has two real solutions.

A

The equation has one real solution.

B

The equation has no real solution.

C
Easy
Less than a minute

How many solutions are there to the equation $x^2=9$x2=9?

How many solutions are there to the equation $\left(x-4\right)^2=0$(x4)2=0?

How many real solutions are there to the equation $\left(x-6\right)^2=-2$(x6)2=2?

### Outcomes

#### M7-6

Manipulate rational, exponential, and logarithmic algebraic expressions

#### M7-7

Form and use linear, quadratic, and simple trigonometric equations

#### 91261

Apply algebraic methods in solving problems