Form a quadratic equation whose roots are : x ={2+√5/2,2-√5/2}
Answers
Answered by
1
Step-by-step explanation:
p(x) = x^2 - {( 2+√5/2)+(2-√5/2)}x +
(2+√5/2)(2-√5/2)
= x^2 -4x + 19/4
Answered by
1
Step-by-step explanation:
sum of roots (A+B) = 2+√5/2 + 2- √5/2
= 4
product of roots (AB)
= (2+√5/2) (2-√5/2)
= 4 - 5/4 = 11/4
required quadratic equation
x^2 - x(A+B) + AB = 0
x^2 - 4x + 11/4 = 0
4x^2 - 16x + 11 = 0 Answer
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