Question

Q.3. . If the sum of the zeroes of the quadric polyromial (kx2 + 2x + 3k) is equal to the
product of its zeroes, then find the value of k.
D.
1
CTY
autom of agn 3r 512= kx + 10y = 0 has a non-​

Answer 1

Given :- If the sum of the zeroes of the quadric polynomial (kx2 + 2x + 3k) is equal to the product of its zeroes, then find the value of k.

Solution :-

we know that, for a quadratic equation ax² + bx + c = 0 ,

• sum of zeroes = (-b/a)
• product of zeroes = c/a

so, comparing kx² + 2x + 3k with ax² + bx + c = 0 we get,

• a = k
• b = 2
• c = 3k

then,

→ sum of zeroes = product of zeroes

→ (-b/a) = c/a

→ (-b) = c

→ -2 = 3k

→ k = (-2/3) (Ans.)

Learn more :-

JEE mains Question :-

https://brainly.in/question/22246812

. Find all the zeroes of the polynomial x4

– 5x3 + 2x2+10x-8, if two of its zeroes are 4 and 1.

https://brainly.in/question/39026698