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

Related Maths GCSE answers

All answers ▸

Given a right-angled triangle with an angle of 35 degrees and an Opposite side of 12cm, calculate the length of the hypotenuse to 3 significant figures.


Solve ((x+2)/3x) + ((x-2)/2x) = 3


How do you solve simultaneous equations and why do you do it?


Find the values of x for the equation: x^2 - 8x = 105