Question

If p and q are the roots of the quadratic equation x^2+px+q=0 then find the value of p​

Answer 1

${\huge{\pink{\underline{\underline{\purple{\mathbb{\bold{\mathcal{AnSwEr..}}}}}}}}}$

${\large{\blue{\bold{\underline{Given:-}}}}}$

• p and q are zeroes of quadratic equation,

$\sf\implies {x}^{2} + px + q = 0$

${\large{\blue{\bold{\underline{Concept\:Used:-}}}}}$

• Product of zeroes = $\sf\frac{c}{a}$

${\large{\blue{\bold{\underline{To\: Find:-}}}}}$

• Value of p.

${\large{\blue{\bold{\underline{Now,}}}}}$

${\red{\bold{\sf{\boxed{Product\:Of\:Zeroes}}}}}$

$\sf \implies \: p \times q= \frac{c}{a} \\ \\ \sf\implies \: pq = \frac{q}{1} \\ \\ \sf\implies \: pq = q \\ \\ \sf\implies \: p = \cancel \frac{q}{q} \\ \\ \sf\fbox{\pink\implies \:\pink p \pink= \pink1}$

☆ Therefore the required value of p is 1.