Question

How many x if x(24+x)=180 ?

Answer 1

Answer:

Value of x is - 30 or 6.

Step-by-step explanation:

Given,

 = >    x( 24 + x ) = 180

 = >    24x + x^2 = 180

 = >    x^2 + 24x = 180

 = >    x^2 + 24x - 180 = 0

 = >    x^2 + ( 30 - 6 )x - 180 = 0

 = >    x^2 + 30x - 6x - 180 = 0

 = >    x( x + 30 ) - 6( x + 30 ) = 0

 = >     ( x + 30 )( x - 6 ) = 0

 = >     x + 30 = 0  Or   x - 6 = 0

 = >     x = - 30   Or   x = 6

Answer 2

Hey there!

Question : How many possible values of x satisfy the equation x ( 24 + x) = 180 .

So To begin with, Lets find the degree of the equation.

24x + x² = 180

The greatest power is 2 , So 2 values of x satisfy the equation.

Let's find out those values of x.

24x + x² - 180 = 0

30x - 6x + x² - 180 = 0

x ( x + 30 ) - 6 ( x + 30 ) = 0

( x - 6 ) ( x + 30 ) = 0

Therefore, x = 6 , - 30 . There are 2 possible values of x.