Quadratic Equations

Hong Kong

Stage 4 - Stage 5

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

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

Easy

Approx 4 minutes

Solve the following quadratic equation:

$20x^2-24x+1=-5x^2-4x-3$20`x`2−24`x`+1=−5`x`2−4`x`−3

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

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

The sum of two integers is $70$70.

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