The quadratic equation 2x^2 + 8x + 1 = 0 has roots x1 and x2. Write down the value of x1+x2 and x1*x2 and find the value of x1^2 + x2^2

If a quadratic equation is of the form : ax^2 +bx +c =0and has roots x1 and x2, then the following statements are true:x1+x2 = - b/ax1x2 = c/aIn our case: x1+x2 = - 8/2 = -4and x1x2 = 1/2Now, x1^2 + x2^2 = (x1+x2)^2 -2x1x2= (-4)^2 -2 * 1/2 = 16 - 1 = 15

BM
Answered by Bogdan-Adrian M. Maths tutor

6408 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the x coordinate of the minimum point of the curve y = e3x - 6e2x + 32.


Solve, correct to 2 decimal places, the equation cot(2x)=3 for 0°<x<180°


Find the general solution of the equation tan(2x + pi/2) = SQRT(3), giving your answer for x in terms of π in a simplified form.


It is given that n satisfies the equation 2*log(n) - log(5*n - 24) = log(4). Show that n^2 - 20*n + 96 = 0.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning