if alpha and beta are the zeros of a polynomial xsquare- 4 under root 3x + 3 then find the value of alpha + beta -Alpha×beta
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Answer:
√3( 4 - √3 ).
Step-by-step explanation:
We know,
quadratic polynomials / equations represent sum and product of their roots as S and P in the equation in form of x^2 - Sx + P = 0.
Therefore, here, in polynomial x^2 - 4√3 x + 3
Sum of roots = 4√3
Product of roots = 3
⇒ α + β - αβ
⇒ ( sum of roots ) - product of roots
⇒ 4√3 - 3
⇒ √3( 4 - √3 )
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Hey your answer is in the given attachment
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