Question

Find a quadratic polynomial whose sum and product of zeros are -3 / 2✓5 and -1/2 . Also find its zeros.​

Answer 1

Step-by-step explanation:

Let, the zeros be a and b.

A/Q, a+b= -3/2√5

& axb= -1/2

Therefore, the required equation is:

X^2-(a+b)X+axb

=X^2-(-3/2√5)X+(-1/2)

=X^2+3/2√5X-1/2

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