Find the interval for which x^2 - 7x + 10 </= 0

Factorise the quadratic by finding two numbers that add to make -7 and multiply to make 10. (i.e. -2 and -5). So x^2  -  7x +  10 = (x - 2)(x - 5) </= 0. Sketch the quadratic to see where it is negative or zero. Find that the interval is 2 </= x </= 5.

Answered by Lewis T. Maths tutor

6247 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve these simultaneous equations: 7x+3y=84, 2x+2y=32


Expand and simplify (3a+b)(a-2b).


Explain the use of the quadratic formula to solve quadratic equations.


Find the roots for the quadratic equation x^2 +2x-3 = 0


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