What is the quadratic formula and how do I use it?

The quadratic formula is a way of solving quadratic equations of the form: ax2+bx+c=0. By plugging in the values a,b and c into it, the solutions for x can be obtained:x = [-b +/- sqrt(b2-4ac)]/2a For example, solving 2x2+3x-5=0:a = 2, b = 3, c = -5 so inputting these values into the formula above:x = [-3 +/- sqrt(32-4(2*-5)]/(2*2)x = 1 or x = -5/2These can be checked by inserting them into the original equation, or using a graphical method looking at the x-intercept coordinates.

PM
Answered by Patrick M. Maths tutor

4262 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Simplify 2a+6b-a+2b+3a


Expand and Simplify: 6(2x+3) -x(3+(1/x))


What is the value of an investment of £4500 with compound interest of 1.3% after six years?


How do I solve a quadratic equation?


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences