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The sum of the roots of x2−px+q=0 x^2 - px + q = 0x2−px+q=0​ is ___________.
Question

The sum of the roots of x2px+q=0 x^2 - px + q = 0​ is ___________.

A.

-p

B.

pq\frac{p}{q}​​

C.

p

D.

q

Correct option is C

Given:

Given equation = x2px+q=0x^2 - px + q = 0​​

Formula Used:

If the roots of equationax2+bx+c=0 ax^2 +bx +c =0  areα and β \alpha\ and\ \beta​​

Then sum of roots =α+β=ba \alpha + \beta= - \frac{b}{a}​​

Solution:

Given equation = x2px+q=0x^2 - px + q = 0​​

Here a = 1 , b =-p and c = q

Sum of roots =ba=p1=p - \frac{b}{a} = - \frac{-p}{1} = p​​

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