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

4627 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve algebraically: 1) 6a + b = 16, 2) 5a - 2b = 19


Ms Henderson has two jars of sweets. The jars contain the same number of sweets in total. 25% of the sweets in Jar A are mint. Two fifths of the sweets in Jar B are mint. There are 10 mint sweets in Jar A, how many mint sweets are there in Jar B?


Work out 2 and 3/4 x 1 and 5/7 Give your answer as a mixed number in its simplest form.


Express x*2 + 10x - 3 in the form (x+p)*2 + q


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