New Zealand
Level 7 - NCEA Level 2

# Further applications

## Interactive practice questions

Solve the following equation for $b$b using the PSF method of factorisation: $15-11b-12b^2=0$1511b12b2=0

Write all solutions in fraction form, on the same line separated by commas.

Easy
Approx 4 minutes
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Solve the following quadratic equation:

$20x^2-24x+1=-5x^2-4x-3$20x224x+1=5x24x3

Solve for the unknown, leaving your answer in exact form.

$-3x=\left(3x+5\right)\left(x-1\right)$3x=(3x+5)(x1)

The sum of two integers is $70$70.

### Outcomes

#### M7-7

Form and use linear, quadratic, and simple trigonometric equations

#### 91261

Apply algebraic methods in solving problems