Given that the quadratic equation x^2 + 7x + 13 = 0 has roots a and b, find the value of a+b and ab.
Remember that for a general quadratic equation Ax^2 + Bx + C = 0, the sum of the roots = -B/A and the product of the roots = C/A.In our question, A = 1, B = 7, C = 13.So a + b = -7/1 = -7 and ab = 13/1 = 13
NT
Answered by Nathan T. • Further Mathematics tutor
3331 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸The ODE mx'' + cx' + kx = 0 is used to model a damped mass-spring system, where m is the mass, c is the damping constant and k is the spring constant. Describe and explain the behaviour of the system for the cases: (a) c^2>4mk; (b) c^2=4mk; (c) c^2<4mk.
Differentiate w.r.t x the expression arccos(x).
Given sinhx = 0.5(e^x - e^-x), express its inverse, arcsinhx in terms of x.
Find the equation of the tangent to the curve y = exp(x) at the point ( a, exp(a) ). Deduce the equation of the tangent to the curve which passes through the point (0,1) .