Question

It alpha and beta are zeros of x² - 4x +3. Then find the
values of
1/alpha+1/beta​

Answer 1

Given,

$\alpha + \beta = 4 \\ \alpha \beta = 3$

now,

$\frac{1}{ \alpha } + \frac{1}{ \beta } \\ = \frac{ \alpha + \beta }{ \alpha \beta } \\ = \frac{4}{3}$

Answer 2

ANSWER :–

4/3

EXPLANATION :–

GIVEN :–

A quadratic equation x² - 4x + 3 = 0 which roots are α and β .

TO FIND :–

1/α + 1/β

SOLUTION :–

= 1/α + 1/β

= (α+β)/(αβ)

● Sum of roots = α + β = -b/a

● Product of roots = αβ = c/a

➨ Here ,

• a = 1

• b = -4

• c = 3

➨ So that –

= [(-b/a)/(c/a)]

= -b/c

= -(-4)/3

= 4/3