If α, β are the zeros of the polynomial x2 − px + 36 and α2 + β2 = 9 , then p = Select an answerA ±6 B ±3 C ±8 D ±9
Question
Solution 1
Given that α and β are the zeros of the polynomial x² - px + 36, we know from Vieta's formulas that:
- α + β = p (the sum of the roots is equal to the negation of the coefficient of x, which is -p)
- αβ = 36 (the product of the roots is equal to the constant term, which is 36)
We are also given th Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI
Similar Questions
If α, β are the zeros of the polynomial x2 − px + 36 and α2 + β2 = 9 , then p = Select an answerA ±6 B ±3 C ±8 D ±9
If α and β be the zeroes of the polynomial x2 + 11x + k , where α2 + β2 = 115 , then the value of k Select an answerA1B2C3D6
If α, β are roots of x2 – 3ax + a2 = 0, find the value(s) of a if α2 + β2 = 74 .
If α, β are zeros of ax2 + bx + c, ac ≠ 0 , then zeros of cx2 + bx + a are Select an answerA −α, −β B α, 1β C β, 1α D 1α, 1β
If α, β and γ are the zeros of the polynomial 2x3 − 6x2 − 4x + 30 . then the value of (αβ + βγ + γα) isSelect an answerA–2B2C5D–30
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.