Question

if alpha ,beta are the zeroes of thevpolynomial p(x)=4x^2+3,x+7, then 1/alpha +1/beta =?​

Answer 1

Answer:

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GIVEN :

if alpha ,beta are the zeroes of thevpolynomial p(x)=4x^2+3,x+7, then 1/alpha +1/beta =?

SOLUTION :

Given polynomial, p (x) = 4x² + 3x + 7 = 0

Let, a = 4 ; b = 3 ; c = 7

➢ Sum of the zeroes : α + ß = - b/a = -3/4

➢ Product of the zeroes : αß = c/a = 7/4

★ 1/α + 1/ß = α + ß/ αß .......... (1)

Now, we got α + ß/ αß & substitute the values of α + ß & αß in the equation in (1). We get,

➡ -3/4/7/4

• After the calculations, we get

➡ -3/7

Therefore, the value of "1/α + 1/ß = -3/7"

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Step-by-step explanation:

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