Question

the sum of 2 numbers is 17 and there product is 60

Answer 1

Answer:

let the the no.'s be x and y

then we have,

x+y=17-(1)

and xy=60-(2)

from (1) ,

×=17-y

nkw put gjis value in equation (2) , we get

(17-y)×y=60

$17y - {y}^{2} = 60 \\ by \: taking \: left \: terms \: towards \: right \: we \: get \\ = > {y}^{2} - 17y + 60 = 0 \\ = > {y}^{2} - 12y - 5y + 60 = 0 \\ = > {y}(y - 12) - 5(y - 12) = 60 \\ = > (y - 12)(y - 5) = 60 \\ either(y - 12 )= 0 \: or \: (y - 5) = 0 \\ y = 12 \: or \: y = 5$