Take quadratic equation x^2-6x+14=0 and its solutions a and b. What is a/b+b/a?

In this kind of exersise it is easy to use Viète's formula for quadratic equations: Let: a+b = S ab=P then x-Sx + P=0 In our case, S=6 and P=14 by multiplying the fractions we get: (aa)/(ab)+(bb)/(ab) = 2(a+b)/ab= 2S/P = 12/14 = 6/7

Related Further Mathematics A Level answers

All answers ▸

Prove by mathematical induction that, for all non-negative integers n, 11^(2n) + 25^n + 22 is divisible by 24


find an expression for the sum of the series of 1 + 1/2cosx + 1/4cos2x +1/8cos3x + ......


a) Find the general solution to the differential equation: f(x)=y''-12y'-13y=8. b) Given that when x=0, y=0 and y'=1, find the particular solution to f(x).


Solve the inequality x/(x+2) ≤ 4/(x-3) for x ≠ -2 or 3


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