Answers>Maths>IB>Article

Let f(x) = px^2 + qx - 4p, where p is different than 0. Showing your working, find the number of roots for f(x) = 0.

Δ = b2 - 4ac = q2 - 4p (-4p) = q2 + 16p2p different than 0 => 16p2 greater than 0 onlyq2 greater or equal to 0q2 + 16p2 > 0 => f has two (2) roots

HS

Related Maths IB answers

All answers ▸

How do you perform implicit differentiation?


All tickets for a concert are the same price. Amy and Dan pay £63 for some tickets. Amy pays £24.50 for 7 tickets. How many tickets does Dan buy?


How do I integrate the volume of revolution between 0 and pi of y=sin(x)?


Given that y = arcos(x/2) find dy/dx of arccos(x/2) and hence find the integral from 0 to 1 of arcos(x/2)dx