Question

If a and b are the roots of
$x { }^{2} - 3x + 7 = 0$
then the value of 1/a+1/b​

Answer 1

Step-by-step explanation:

Correct option is

D

−

7

3

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

2

+3x+7

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

Answer 2

$\huge{question}$

If a and b are the roots of

$x { }^{2} - 3x + 7 = 0 \\ therfore \: \frac{1}{ \alpha } + \frac{1}{ \beta } =$

$\huge{answer}$

Given: α,β are zeroes of the polynomial 4x2+3x+7

Given: α,β are zeroes of the polynomial 4x2+3x+7To find the value of α1+β1

Given: α,β are zeroes of the polynomial 4x2+3x+7To find the value of α1+β1We know that equation ax2+bx+c=0

Given: α,β are zeroes of the polynomial 4x2+3x+7To find the value of α1+β1We know that equation ax2+bx+c=0Then sum of roots =a−b and product of roots=ac

Given: α,β are zeroes of the polynomial 4x2+3x+7To find the value of α1+β1We know that equation ax2+bx+c=0Then sum of roots =a−b and product of roots=acFrom the given quadratic equation,

Given: α,β are zeroes of the polynomial 4x2+3x+7To find the value of α1+β1We know that equation ax2+bx+c=0Then sum of roots =a−b and product of roots=acFrom the given quadratic equation,α+β=−43 and αβ=47

Given: α,β are zeroes of the polynomial 4x2+3x+7To find the value of α1+β1We know that equation ax2+bx+c=0Then sum of roots =a−b and product of roots=acFrom the given quadratic equation,α+β=−43 and αβ=47Therefore, 

Given: α,β are zeroes of the polynomial 4x2+3x+7To find the value of α1+β1We know that equation ax2+bx+c=0Then sum of roots =a−b and product of roots=acFrom the given quadratic equation,α+β=−43 and αβ=47Therefore, α1+β1=αβα+β

$\mathfrak\red{hope}\green{it}\orange{helps}$

=47−43=−73

=47−43=−73⇒α1+β1=−73