Question

the sum of two number is 9. if twice the product is 28. what are the other two numbers? ​

Answer 1

Answer:

$\textsf\pink{Let \: assume \: the \: two \: number \: be \: xy}$

$\underline\texttt\pink{Given}$

$\texttt\pink{Sum of number = x+y = 9}$......................( 1 )

$\texttt\green{Product of numbers = 2(x*y) = 28}$.......( 2 )

$\texttt\green{x*y = 14}$

$\texttt\green{x*y = 14}$

$\texttt\green{x = 14/y}$

$\textsf\orange{Substitue \: 'x' \: in \: equation\: (1)}$

$\texttt\pink{14/y+ y = 9}$

$14 + {y}^{2} = 9y \\ {y}^{2} - 9y + 14= 0 \\ {y }^{2} - 2y - 7y + 14 = 0 \\ y(y - 2) - 7(y - 2) = 0 \\ (y - 2)(y - 7) = 0 \\ y = 2 \: and \: 7$

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