Quadratic Equations (Cambridge International IGCSE Mathematics): Exam Questions

Use the quadratic formula to solve $9x^{2}-12x-23=0$. Give your answers correct to 2 decimal places.

$x=$ ............................ or $x=$ ............................

Solve the equation $3x^{2}-2x-10=0.$ Show all your working and give your answers correct to 2 decimal places.

$x$ = ..................... or $x$ = .....................

Use the quadratic formula to solve the equation $3x^{2}+7x-11=0$You must show all your working and give your answers correct to 2 decimal places.

$x$ = .................... or $x$ = ....................

Solve the equation $3x^{2}-2x-2=0$. Show all your working and give your answers correct to 2 decimal places.

$x$ = ........................... or $x$ = ...........................

Solve the equation $6m^{2}+25m+16=0$. Show all your working and give your answers correct to 2 decimal places.

$m=$ ..................... or $m=$.....................

Solve the equation $2x^{2}+7x-3=0$.

Show all your working and give your answers correct to 2 decimal places.

$x$ = ..................... or $x$ = .....................

Write $x^{2}-18x-27$ in the form $( x + k )^{2} + h$.

Extract:

Write x squared minus 18 x minus 27 in the form (x + k)^2 + h.

Use your answer to part (a) to solve the equation $x^{2}-18x-27=0.$

$x=$.................... or $x=$....................

The $n$th term of a sequence is $4n^{2}+n+3.$ Find the value of $n$ when the $n$th term is 498.

$n=$..................................................

Solve $10m^{2}+9m-162=0$.

$m$ = .................... or $m$ = ....................

Solve $2x^{2}+9x-7=0$

Give your solutions correct to 3 significant figures.

Solve $\frac{2}{y^{2}}+\frac{9}{y}-7=0$ Give your solutions correct to 3 significant figures.

The diagram shows a trapezium.

All the measurements are in centimetres.

The area of the trapezium is 351 cm².

Show that $2x^{2}+x-351=0$

Extract:

2 x squared plus x minus 351 equals 0

Work out the value of $x$.

Given that

$2x-1:x-4=16x+1:2x-1$

find the possible values of* x*.