Question

Find the quadratic equation whose roots are 4,1.
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Answer 1

let x=4 and y=1

products of roots=4*1

I.e.,c/a = 4;

sum of the roots =4+1

I.e., - b/a = 5

I.e.,b/a= -5;

the quadratic equation is " ax²+bx+c = 0 "

dividing it with a

x²+b/a*x+c/a = 0

x²-5x+4 = 0 is the required quadratic equation