Question

Roots of quadratic:

Answer 1

if α and β are the roots of equation 4x^2 - 2x - 1 = 0,
find α - β

Answer 2

use formula :
α - β = | (sqrt(D)/a) |
with D=b^2-4ac

Answer 3

oh yeah... forgot to put - without finding the roots
So like using αβ = c/a and α+β=-b/a

Answer 4

right, but ur problem to find value of α - β?

Answer 5

yes. find α - β

Answer 6

we know that general form of a quadratic equation is
ax^2+bx+c=0
so, we can find α - β with formula :
α - β = abs(sqrt(D)/a)

Answer 7

You can always count on finding the roots and assuming them as \(\alpha, \beta\).

Answer 8

\[x = {2 \pm \sqrt{4 - 4(4)(-1)} \over 8}\]

Answer 9

@ParthKohli, without finding roots

Answer 10

yea, right to..
but should use absolut sign because not known α > β or α < β

Answer 11

yeah ok

Answer 12

so, what ur answer ?

Answer 13

1.128

Answer 14

yea, or (sqrt(5))/2 ?