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

3058 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Differentiate the following: 7x^2 - 3x^3 + 5 + 27x


Divide 711 in the ratio 4:5


P has coordinates (0, -1) and Q has coordinates (4, 1). a) Find the equation of line PQ. b) P and Q are two vertices of rectangle PQRS. Find the equation of line QR.


Given point A: (5,9), point B: (d,15) and the gradient of line AB is 3... what is the value of d?


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:

© 2025 by IXL Learning