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iGCSE (2021 Edition)

3.07 Further quadratic equations

Interactive practice questions

Solve $x^2+6x-55=0$x2+6x55=0 for $x$x.

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

Easy
1min

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

$8-7m-m^2=-2m^2+m+2$87mm2=2m2+m+2

Easy
4min

Solve the following equation:

$x-\frac{45}{x}=4$x45x=4

Easy
1min

Solve the following equation:

$\frac{10}{x}-3x=-13$10x3x=13

Easy
2min
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Outcomes

0606C2.4A

Solve quadratic equations for real roots.

0606C2.4B

Find the solution set for quadratic inequalities.

0606C3.3

Use substitution to form and solve a quadratic equation in order to solve a related equation.

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