6th Q If α and β are the roots of quadratic equation (x 2) (x - Maths - Quadratic Equations

Question

6th

Q If α   and   β are the roots of quadratic
equation (x – 2) (x – 3) + (x – 3) + (x + 1) (x
+1) (x – 2) = 0 then the value of 1 α + 1 β + 1 +
1 α - 2 β - 2 + 1 α – 3 β – 3
is

(A) 1 (B) –1

(C) 0 (D) 2

Neha Sethi · Accepted Answer

Kindly
refer the similar link for your query

https://www meritnation
com/ask-answer/question/if-alpha-and-beta-are-zeroes-of-polynomialx-2-12x-35-fin/polynomials/2356133
(Refer
1)

https://www meritnation
com/ask-answer/question/if-alpha-and-beta-are-the-zeroes-of-x2-x-4-find-the-value/polynomials/7537139
Regards

6th Q. If α and β are the roots of quadratic equation (x – 2) (x – 3) + (x – 3) + (x + 1) (x +1) (x – 2) = 0. then the value of 1 α + 1 β + 1 + 1 α - 2 β - 2 + 1 α – 3 β – 3 is (A) 1 (B) –1 (C) 0 (D) 2

6th

Q. If $α and β$ are the roots of quadratic equation (x – 2) (x – 3) + (x – 3) + (x + 1) (x +1) (x – 2) = 0. then the value of $\frac{1}{(α + 1) (β + 1)} + \frac{1}{(α - 2) (β - 2)} + \frac{1}{(α - 3) (β - 3)}$ is

(A) 1 (B) –1

(C) 0 (D) 2