Solve the inequality x^2 – 5x – 14 > 0.

In order to solve this, the quadratic must be factorised. This means we're trying to get the equation into the form (x+a)(x+b)>0 where a and b are constants where a x b = -14 and a + b = -5. This turns out to be -7 and 2. These constants show us where the graph crosses the axis. We currently have the equation y = (x-7)(x+2) and are looking for solutions when y>0. This means on the graph it will be above the x-axis, i.e. x > 2 and x < -7.

MP
Answered by Marcus P. Maths tutor

9685 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A curve C has equation: x^3+2xy-x-y^3-20=0. Find dy/dx in terms of x and y.


How do you integrate ln(x) with respect to x?


solve the simultaneous equation; x^2+y^2=10 2x+y=5


What's the best strategy when approaching a maths problem?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences