x^2 - 10x + 21 = 0

  • First, factorise the quadratic equation.
  • Find two numbers that multiply to give 21 and add to give 10. 7 and 3
  • (x-7)(x-3)=0
  • Now find the value x so that when these brackets are multiplied together the answer is 0.
  • So either x=7 or x=3
  • You can check the answer by substituting 7 and 3 into the equation.
BS
Answered by Ben S. Maths tutor

4604 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

If a cuboid of width and height-8m with a volume of 896m^3, work out the length of the cuboid and distance between two opposite points


A right angled triangle has two smaller sides length 3 and 4, what is the length of its longest side?


Make x the subject of the formula 4(2x-y) = 3ax - 5


solve to 2 decimal places; (2x+3/(x-4)) - 2x-8/(2x+1) = 1


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning