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

5698 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

differentiate parametrically y=3t+4 and x=2t^2 +3t-5


The first term of an infinite geometric series is 48. The ratio of the series is 0.6. (a) Find the third term of the series. (b) Find the sum to infinity. (c) The nth term of the series is u_n. Find the value of the sum from n=4 to infinity of u_n.


Differentiate y = 7(x)^2 + cos(x)sin(x)


How do I tell if a curve has a maximum or a minimum?


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