Can you explain the quadratic formula?

The quadratic formula is used to solve the quadratic equation. Although methods like factorising or completing the square can easily be used, this offers another method which can be used for more difficult equations. The general form of a quadratic equations is ax2+bx+c=0 where a,b and c are constants or coefficients of each of the terms. The quadratic formula essentially gives you two solutions to the equation. The quadratic formula is x= (-b ±sqrt(b2-4ac))/2a, where a,b and c are the constants defined above.  All you have to do is subsitute in the coefficients of each of the terms in to the formula and it will give you the two solutions.

SI

Related Maths GCSE answers

All answers ▸

x^2 = 4(x – 3)^2


Josie is paid £1200 per month. She is going to receive an increase of 4% in the amount she is paid. Work out how much money Josie we be paid each month after the increase.


Solve the equation x^2-10x+21=0


2x + 4 = 4y ; 3y + 3 = 3x. What is x and y respectively?