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Welcome to. A-Maths

Today In this blog  I will solve an SAT math problem. This problem looks very complicated but I will show you how you can solve this equation by using a simple trick.

Let's start the solution!

In order to solve this equation, multiply both sides of the equation by 6x.

(2/x + x/2) × 6x = (3/x + x/3) ×6x

Because our given Equation is in a fraction form. It looks like a complicated form. in order to make simple this complicated form. we will multiply 6x on both sides of the equation. This 6x is the LCM of these 4 denominators.

2×6x/× +x ×6x/2 = 3×6x/x + x ×6x/3

After multiplication we will get 

12 + 3x² = 18 + 2x²

Now simplify this equation 

This 2x² will move to the left side of the equation and will change to -2x².

This 12 will move to the right side of the equation and it will change to -12.

3x²- 2x² = 18 - 12

Subtract these two values 

X² = 6

Now Apply under root on both sides of the equation 

x = ± root 6

This is the value of x.

I hope this LESSON will be very helpful to all of you.

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