Q.

If α and β are the roots of the equation 2x(2x+1)=1,then β is equal to

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya

a

2α(α+1)

b

−2α(α+1)

c

2α(α−1)

d

2α2

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

The given quadratic equation2x(2x+1)=1⇒ 4x2+2x−1=0 has roots α and βso,α+β=−12⇒2α+2β=−1and 4α2+2α−1=0From Eqs. (i) and (ii), we get4α2+2α+(2α+2β)=0⇒ 2α2+2α+β=0⇒β=−2α(α+1)
Watch 3-min video & get full concept clarity
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon