Question

if α and β are the roots of 3x2+5x-2=0 then α+β should be​

Answer 1

Answer:

-5/3

Step-by-step explanation:

3x^2+5x-2=0

α+β=-b/a=-5/3

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Answer 2

Answer:

- 5 / 3

Step-by-step explanation:

Given :

p ( x ) = 3 x² + 5 x - 2 = 0

3 x² + 5 x - 2 = 0

3 x² + 6 x - x - 2 = 0

3 x ( x + 2 ) - ( x - 2 ) = 0

( 3 x - 1 ) ( x + 2 ) = 0

3 x - 1 = 0

= > x = 1 / 3

OR

x + 2 = 0

= > x = - 2

Let say :

α = 1 / 3  and  β = - 2

Now sum of zeroes :

α + β = 1 / 3 - 2

= > α + β = ( 1 - 6 ) / 3

= > α + β = - 5 / 3

Alternate method :

If given :

p ( x ) = a x² + b x + c  [ a ≠ 0 ]

= > α + β = - b / a

For 3 x² + 5 x - 2 = 0

= >  α + β = - 5 / 3

Hence we get required answer!