If alpha and beta are the roots of the equation 2x²-3x-1=0, find the value of alpha -beta if beta is greater than alpha
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Step-by-step explanation:
Correct option is
A
Both A and R are true and R is a correct explanation of A.
2x
2
+3x+4=0
x=
2+2
−3±
9−32
∴ Roots of the quadratic are complex.
∴ Both root are common in the equations 2x
2
+3x+4=0 and ax
2
+bx+c=0.
Because complex roots occur in pairs.
∴
2
a
=
3
b
=
4
c
∴a:b:c=2:3:4
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