Solving Quadratic Equations (Edexcel GCSE Maths: Foundation): Exam Questions

Solve  $x^2+10x+16=0$

Solve  $x^2-16x+64=0$

Solve  $x^2-36=0$

Solve $x^2-x-12=0$

Solve by factorising $x^2+9x+20=0$

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

Solve  $x^2-5x-24=0$

Solve  $x^2+4x-45=0$

Solve  $0=x^2-81$

The only solution to $x^2+bx+c=0$    is    $x=5$

Work out the values of $b$ and $c$.

$\begin{array}{l}b=....................\\ c=.....................\end{array}$

Solve  $x^2–21x+20=0$

Show your working clearly.

Factorise  $x^2+2x–24$

Hence solve  $x^2+2x–24=0$

[1]

An object is moving in a straight line. It has an initial speed of $u=1$ m/s and accelerates with an acceleration of $a=2$ m/s². Given that the distance travelled is given by $s=ut+\frac{1}{2}a{t}^2$, determine the length of time $t$ in seconds that the object takes to travel $s=20$ metres.