Solving quadratic equationsIB MYP Maths Standard: Flashcards

What these 13 flashcards ask

What is the general form of a quadratic equation?
State the zero-product rule.
Why must you rearrange to =0 before factorising?
Solve x^2-3x-10=0.
Solve x^2-4x=0.
State the quadratic formula.
What is the discriminant?
What does b^2-4ac0 tell you?
What does b^2-4ac=0 tell you?
What does b^2-4ac<0 tell you?
How do you solve a quadratic graphically?
Why might you reject a solution in a context question?
Factorise x^2-25.

Exam questions on Solving quadratic equations

A quadratic equation is $x^2-5x-14=0$ .
Write down the coordinates of the points where the graph of $y=x^2-5x-14$ crosses the $x$ -axis.2 marks
A ball is thrown upwards from a platform. Its height $h$ metres above the ground after $t$ seconds is modelled by $h=-5t^2+10t+15$ .
Solve $-5t^2+10t+15=0$ by factorising, and hence state how long the ball takes to hit the ground.2 marks
Consider the quadratic equation $3x^2-4x-5=0$ .
Use the quadratic formula to solve the equation. Give your answers correct to 3 significant figures.3 marks

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).