Question

Find two numbers whose sum is 27 and product is 182 by using quadratic formula.

Answer 1

Answer:

let the two numbers be x and y respectively.

Now, x+y=27________(i)

xy= 182_________(ii)

By using substitution method, we get

x= 27-y______(iii)

Now, putting the value of x in 2nd equation

(27-y)y= 182

27y-y^2= 182

y^2-27y+182= 0

y^2-18y-9y+182=0

y(y-18)-9(y-18)=0

(y-18)(y-9)=0

y=18 and y=9

Now, x=27-18 and x= 27-9

x= 9 and x= 18

When when first number is 9 then second number will be 18 and when first number will be 18 then the second number will be 9.