Question

bina x ka man nikale gyat kijiye
$4x {}^{2} + x + 5 = 0 \: \: bina \: x \: ka \: man \: nikale \: gyat \: karo$
$1) \: \: \frac{1}{ \alpha } + \frac{1}{ \beta }$
$2) \: \: \alpha {}^{2} + \beta {}^{2}$
​

Answer 1

Answer:

To find the value of

α

1

+

β

1

We know that equation ax

2

+bx+c=0

Then sum of roots =

a

−b

and product of roots=

a

c

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