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.

LT

Related Maths GCSE answers

All answers ▸

Given y=x^3+5x+3 find dy/dx when x=3


ln(2x^2 +9x-5) =1+ ln( x^2+2x-15)


Rearrange "(6y-30)/5 = 2x+(12/5)" so it reads "y = ... ". Sketch this line and label where it meets the axes.


Bob sprints down a 100 metre track as fast as he can and as he arrives at the finish, a light gate cuts a timer that has been active since Bob began his sprint. It reads 12.45 seconds. calculate Bobs average speed during the sprint.