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

4285 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Fully factorise and simplify (x^2 +7x + 10) / (x^2 - 25)


Simplify Fully: (b^6 x b^2) / b^4


Adam can pay for his gym membership in one go at £180 or in monthly sums of £20. Work out the percentage increase of paying monthly to 1 decimal place.


Work out area of shaded region in terms of pi. (https://prnt.sc/hqfbsl) [Question link]


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