Question

Find two numbers whose sum is 12 and whose product is 35​

Answer 1

the equation are

condition I

X+Y=12

condition II

XY=35

Y^2-12Y+35=0

by solving this we obtain

X=5,7

Y=7,5

Answer 2

Answer:

Required two numbers are ,

(7,5) Or (5,7)

Step-by-step explanation:

It is given that ,

Sum of two numbers whose

sum is 12 .

Let two numbers are x and (12-x)

Product of two numbers =35

=> x(12-x) = 35

=> 12x-x²=35

=> 0 = x²-12x+35

=> x²-12x+35 = 0

Splitting the middle term, we get

=> x² - 7x -5x + 35 = 0

=> x(x-7)-5(x-7)=0

=> (x-7)(x-5) = 0

=> x-7 = 0 Or x - 5 = 0

=> x = 7 or x = 5

Therefore,

Required two numbers are ,

i ) if x = 7 ,

12-x = 12 - 7 = 5

ii ) if x = 5 ,

12-x = 12-5 = 7

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