Question

find the Quad poly. whose Zeroes
are 2 + √5/2 and 2-√-5/2

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Answer 1

Answer:

(0,1)

D

(51,21)

Given that

αx2−x+a=0 has distinct real roots.

Hence the discriminant of this quadratic equation should be greater than zero

If ax2+bx+c=0 then b2−4ac>0

Here, a=α,b=−1,c=a

⇒(−1)2−4αa>0

⇒1−4αa>0             (1)

Given that if x1,x2 are the roots, ∣x1−x2∣<1

⇒(x1−x2)2<1

We know that 

⇒(x1−x2)2=(x1+x2)2−4x1x2

⇒(x1