Question

$\huge\bf{\red{\underline{\underline{\boxed{QueStion}}}}}$
Show that, the roots of the equation:-

(p²-q)x²+5(p+q)x-2(p-q) = 0

are real and distinct

class :- 10th
chapter :- quadratic equations

❌ No spam ⚠️ ​

Answer 1

· Author has 386 answers and 517.7K answer views
Nature of the quadratic equation is depend on the discriminant where discriminant =b²-4ac

a=(p-q)

b=5(p+q)

c=-2(p-q)

b²-4ac=[5(p+a)]²+8(p-q)(p-a)

b²-4ac=25p²+25q²+50pq+8p²+8q²-16pq

b²-4ac=33p²+33q²+34pq >0

Therefore roots are real and positive
861 viewsView 4 Upvoters
Sponsored by HDFC Life