Find the roots of the following equation 2x^2-11x+14=0

First start by copying down the question and making sure that you have copied all of the correct numbers. We then identify that it is a quadratic equation due to there being an x raised to a power 2 term. Due to this we can then use the quadratic equation. We then need to identify the a, b and c vaules. After identifying this we can calculate the discriminate of the equation to see if the roots do cross the x axis. The discriminate is 3 or 3/2 depending on the mentor of finding a b and c. We can then see that the equation crosses the x axis and thus we apply the quadratic formula and find that the roots are 2 and 3.5.

JD
Answered by Jack D. Maths tutor

3257 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do I find the length of a side of a triangle using the cosine rule?


Solve the following two equations simultaneously: 3x + y = 10, x + y = 4


Solve 13+4x=7-4x


Prove the quadratic formula for ax^2 + bx + c = 0, where a is non 0 and a,b and c are reals.


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