Question

find the two numbers who sum is 27 and the product is 182 ​

Answer 1

Answer:

Let one number=x

and another number=y

Given that sum is 27

so,x+y=27(equation. 1)

And also given that product is 182

so,(x)(y)=182(equation 2)

We know that x+y=27

so,x=27-y. so substitute this in equation 2

Then we get

(27-y)(y)=182

27y-y^2 =182

0=182-27y+y^2

y^2-27y+182=0

Now do middle term splitting

y^2-13y-14y+182=0

y(y-13)-14(y-13)=0

(y-14)=0,(y-13)=0

y=14,y=13

so if you take y=14 then x=13

or if you take y=13 then x=14

Answer 2

Answer:

by using splitting method