Published by:
CGP EDU Academic Team
Published on: August 13, 2026
A quadratic equation with integral coeff. has two different prime numbers as its roots if the sum of the coefficients of the equation is prime then the sum of the roots is
Text Solution
Verified by ExpertsThe correct answer is:
B
Let equation is K (x – α ) (x– β ) = 0 where α, β are prime nos.
Sum of coeffs.
= K – K( α + β ) + K αβ = K ( α – 1) ( β – 1)
Prime
⇒ K = 1 & one of ( α – 1) & ( β – 1) will be one
let α – 1 = 1 ⇒ α = 2
β –1 will be 2
So β = 3
Hence sum of roots = 5
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The coefficient of x in the quadratic equation ax 2 + bx + c = 0 was wrongly taken as 17 in place o…
If f(x) = 2x 3 + mx 2 – 13x + n and 2, 3 are roots of the equation f(x) = 0, then the values of m a…
If both roots of the equation x 2 – 6ax + 2 –2a + 9a 2 = 0, exceed 3, then a is-
The roots of ax 2 + bx + c = 0. Where a ≠ 0 and coefficients are real, are non-real complex and a +…
In copying a quadratic equation of the form x 2 + px + q = 0 the coefficient of x was wrongly writt…
If one root of is reciprocal of the other, then