apple_pi
Roots of quadratic:



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

RadEn
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use formula :
α  β =  (sqrt(D)/a) 
with D=b^24ac

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

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

apple_pi
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yes. find α  β

RadEn
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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)

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

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

apple_pi
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@ParthKohli, without finding roots

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

apple_pi
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yeah ok

RadEn
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so, what ur answer ?

apple_pi
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1.128

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