Question

find the quadratic equations if the sum of zeroes is minus 3 and priduct is 2​

Answer 1

Answer:

x²+3x+2

Step-by-step explanation:

The quadratic equation is of the form = Ax²+bx+c=0

The formula for sum of its zeroes is -b/a and its product is c/a

So,

-3=-b/a

a=b/3........(1)

2=c/a

Substituting equation 1 we get

2=c/(b/3)

c=2b/3

So we got

a=b/3

b=b

c=2b/3

Substituting in Ax²+bx+c

We get,

bx²/3+bx+2b/3=0

Taking b common and sending it to L.H.S

We get,

x²/3+x+2/3=0

Taking L.C.M

We get (x²+3x+2)/3=0

Sending 3 to that side we get

The quadratic equation

x²+3x+2

Answer 2

the quadratic equation is in the