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5x2-x= 8y2+9x / 4y

 Jun 27, 2018

Best Answer 

 #1
avatar+2446 
+2

Solving for a variable can be extremely daunting--especially in a multivariable equation such as 5x2x=8y2+9xy4. I have a few suggestions that may make this easier to do. 

 

1. Move everything to One Side of the Equation. 

 

This is a relatively simple step.

 

5x2x=8y2+9xy48y2+9x4y5x2+x=0

 

2. Eliminate All Instances of Fractions or Decimals 

 

Fractions can be pesky, and there is no reason to make a hard situation worse. In this case, we can multiply both sides of the equation by 4 to eliminate the fractions. In a situation like this one, this is also relatively easy to do. 

 

8y2+9x4y5x2+x=032y2+9xy20x2+4x=0

 

3. Use a Formula to Finish it Off

 

This is written in the form of a quadratic, so the quadratic formula is the way to go. 

 

a=32;b=9x;c=20x2+4xy1,2=b±b24ac2a The only thing left to do is plug in the numbers. 
y1,2=9x±(9x)2432(20x2+4x)232 It is time to simplify. 
y1,2=9x±81x2128(20x2+4x)64  
y1,2=9x±81x2+2560x2512x64  
y1,2=9x±2641x2512x64 I have now successfully solve for y.
   


 

 Jun 27, 2018
 #1
avatar+2446 
+2
Best Answer

Solving for a variable can be extremely daunting--especially in a multivariable equation such as 5x2x=8y2+9xy4. I have a few suggestions that may make this easier to do. 

 

1. Move everything to One Side of the Equation. 

 

This is a relatively simple step.

 

5x2x=8y2+9xy48y2+9x4y5x2+x=0

 

2. Eliminate All Instances of Fractions or Decimals 

 

Fractions can be pesky, and there is no reason to make a hard situation worse. In this case, we can multiply both sides of the equation by 4 to eliminate the fractions. In a situation like this one, this is also relatively easy to do. 

 

8y2+9x4y5x2+x=032y2+9xy20x2+4x=0

 

3. Use a Formula to Finish it Off

 

This is written in the form of a quadratic, so the quadratic formula is the way to go. 

 

a=32;b=9x;c=20x2+4xy1,2=b±b24ac2a The only thing left to do is plug in the numbers. 
y1,2=9x±(9x)2432(20x2+4x)232 It is time to simplify. 
y1,2=9x±81x2128(20x2+4x)64  
y1,2=9x±81x2+2560x2512x64  
y1,2=9x±2641x2512x64 I have now successfully solve for y.
   


 

TheXSquaredFactor Jun 27, 2018

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