Question

Find the value of ‘b’ if alpha and 1/alpha are the roots of the polynomial, ax²+bx+c=0​

Answer 1

We have to find the value of b if α and 1/α are the roots of the polynomial, ax² + bx + c = 0

solution : α and 1/α is the roots of polynomial ax² + bx + c = 0

then, sum of roots = - coefficient of x/coefficient of x²

⇒α + 1/α = -b/a

and product of roots = constant/coefficient of x²

⇒α × 1/α = c/a

⇒1 = c/a

⇒a = c

we can't say anything about b , it belongs to all real numbers. but a is equal to c.

Therefore b ∈ R and a = c

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Answer 2

We have to find the value of b if α and 1/α are the roots of the polynomial, ax² + bx + c = 0

solution : α and 1/α is the roots of polynomial ax² + bx + c = 0

then, sum of roots = - coefficient of x/coefficient of x²

⇒α + 1/α = -b/a

and product of roots = constant/coefficient of x²

⇒α × 1/α = c/a

⇒1 = c/a

⇒a = c

we can't say anything about b , it belongs to all real numbers. but a is equal to c.

Therefore b ∈ R and a = c

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If alpha and beta are the zeroes of the polynomial ax²+ bx+C. Find the value of alpha minus beta

https://brainly.in/question/1213008