Question

The sum of two numbers is 14 and their product is 45. represent an equation that could find the two numbers

Answer 1

Step-by-step explanation:

i hope this helps

thanks for the question

smiles

Answer 2

GIVEN THAT :-

• Sum of two number = 14

• Product of two numbers = 45

TO FIND :-

• The two numbers.

SOLUTION :-

 Let the two numbers be x and y.

• Sum of two numbers = 14

       $\longrightarrow\sf x+y= 14 \\\\\longrightarrow y= 14-x \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ .............(1)$

• Product of two numbers = 45

        $\longrightarrow\sf xy = 45 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ .............(2)$

   Substitute the value of y in eq(2),

       $\longrightarrow\sf x(14-x) = 45 \\\\\longrightarrow 14x-x^2= 45 \\\\\longrightarrow x^2-14x= -45\\\\\longrightarrow x^2-14x+45= 0 \\\\\longrightarrow x^2-9x-5x+45= 0 \\\\\longrightarrow x(x-9)-5(x-9)= 0 \\\\\longrightarrow (x-9)(x-5) = 0 \\\\\longrightarrow \bf x = 9 \ , \ x= 5$

The two numbers are 9 and 5 .