Question

the original equation is ¼x + y = 2, what is the transformed equation of these original equation?​

Answer 1

Answer:

Step-by-step explanation:

The given equation is x  

3

−  

4

1

​  

x  

2

+  

3

1

​  

x−  

144

1

​  

=0

Multiplying the roots of the given equation by m, the transformed equation is  

x  

3

−  

4

1

​  

mx  

2

+  

3

1

​  

m  

2

x−  

144

1

​  

m  

3

=0

⇒x  

3

−  

2  

2

 

1

​  

mx  

2

+  

3

1

​  

m  

2

x−  

2  

4

.3  

2

 

1

​  

m  

3

=0

Clearly the least value of m to remove the fractional coefficient is m=2  

2

.3=12

Therefore putting this, we get

x  

3

−  

2  

2

 

1

​  

(2  

2

.3)x  

2

+  

3

1

​  

(2  

2

.3)  

2

x−  

2  

4

.3  

2

 

1

​  

(2  

2

.3)  

3

=0

⇒x  

3

−3x  

2

+48x−12=0