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 x2 -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
AM
Answered by Andreea-Lorena M. • Further Mathematics tutor
3649 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸How do you plot a complex number in an Argand diagram?
find all the roots to the equation: z^3 = 1 + i in polar form
If 0<x<1, find the following sum: S = 1+2*x + 3*x^2 + 4*x^3 + ...
A parabola with equation y^2=4ax for constant a is translated by the vector (2,3) to give the curve C. The curve C passes through the point (4,7), what is the value of a?