Question

find the quadratic equation whose sum and product of zeroes are 7and 4​

Answer 1

Answer:

x^2-7x+4

Step-by-step explanation:

alpha+beta= -b/a

alpha×beta= c/a

7/1= -b/a

4/1=c/a

a=1 ; b= -7 ; c= 4

x^2 -7x+4

Answer 2

Step-by-step explanation:

ax^2+bx+c=0

the sum of two zeroes= -b/a=7

and product= c/a=4

solving sum of two zeroes

-b/a=7

a=-b/7

put the value of a=1 (assuming) in c/a=4

c=4

therefore b=-7a

b = -7

put the values of a,b,c in given quadratic equation

x^2-7x+4