Question

if sum and product of roots of equation ax square +6x+4a =0 are equal then what is value of a

Answer 1

Hey!

Here's ur answer.....


Sum of zeroes = -6/a

Product of zeroes = 4


Given, Sum = Product

So, -6/a = 4

Hence, a is -6/4 = -3/2


Hope this helps you.


Comment in case of any queries

Answer 2

given equation=ax^2+6x+4a=0 ; sum of zeros= -(coefficient of x)/coefficient of x^2=-6/a
product of zeroes=constant term /coefficient of x^2=4a/a=4
given that sum and product of roots are equal .
therefore ,-6/a=4
a=-3/2
a=-3/2