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1) ax^2+bx+c=0 where a & b are both real numbers with a not equal to zero
2) Let alpha and ß be the roots of the equation such that alpha = 3 & ß = 4
We know that sum of roots in a quadratic equation is -b/a
so, -b/a = 3+4
=> b/a = -7 ....(1)
Product of roots in a quadratic equation is c/a
so, c/a = 4 x 3
=> c/a =12.....(2)
From equation (1) & (2), we can say
a = 1
b = -7
c = 12
3) Putting the values of a,b & c in the general form we get,
x^2-7x+12 as the required quadratic equation
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