Question

Divide 65 into two parts whose product is 1054 qudritic equation

Answer 1

Hi ,

Let 65 is divided into parts x

and ( 65 - x )

Product = 1054

x( 65 - x ) = 1054

65x - x² = 1054

x² - 65x + 1054 = 0

x² - 34x- 31x + ( 34 × 31 ) = 0

x( x - 34 ) - 31 ( x - 34 ) = 0

( x - 34 ) ( x - 31 ) = 0

x - 34 = 0 or x - 31 = 0

x = 34 or x = 31

Therefore ,

Required parts are ,

( x , 65 - x )

( 34 , 31 ) or ( 31 , 34 )

I hope this helps you.

:)

Answer 2

Answer:

Divide 65 into two part , such that their product is 1054.