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→ If the roots of the quadratic equation:
are in the ratio p : q, then show that
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▶ Answer :-
→
▶ Step-by-step explanation :-
➡ Given :-
→ Given quadratic equation :-
→ Roots of the given are in the ratio p : q .
➡ To prove :-
→
We have,
Roots of the given equation are p and q .
▶ From equation (1) and (2) , we get .
p + q = - pq .
p + q + pq = 0 .
[ Dividing both side by √(pq) . ]
[ pq = c/a . ]
Hence, it is proved .
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