Question

If α and β are the zeroes of the polynomial f(x) = 4x^2

– 6x + 2, then the value of α^2

– β^

2

is​

Answer 1

Step-by-step explanation:

If α and β are the zeroes of the polynomial 4x

2

+3x+7, then

α

1

+

β

1

is equal to:

A

3

7

B

−

3

7

C

7

3

D

−

7

3

EASY

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ANSWER

Given: α,β are zeroes of the polynomial 4x

2

+3x+7

To find the value of

α

1

+

β

1

From the given quadratic equation,

α+β=−

4

3

and αβ=

4

7

Therefore,

α

1

+

β

1

=

αβ

α+β

=

4

7

−

4

3

=−

7

3

⇒

α

1

+

β

1

=−

7

3