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Solving quadratic equationsIB MYP Maths Extended: Mind map

What this mind map covers

  • Factorising
  • Quadratic formula
  • Discriminant
  • Graphs
  • In context
  • Exam tips

Exam questions on Solving quadratic equations

  1. A quadratic equation is x2−5x−14=0x^2-5x-14=0.
    Write down the coordinates of the points where the graph of y=x2−5x−14y=x^2-5x-14 crosses the xx-axis.2 marks
  2. A ball is thrown upwards from a platform. Its height hh metres above the ground after tt seconds is modelled by h=−5t2+10t+15h=-5t^2+10t+15.
    Solve −5t2+10t+15=0-5t^2+10t+15=0 by factorising, and hence state how long the ball takes to hit the ground.2 marks
  3. Consider the quadratic equation 3x2−4x−5=03x^2-4x-5=0.
    Use the quadratic formula to solve the equation. Give your answers correct to 3 significant figures.3 marks
See the full worksheet

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).