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find solution of following equation 1/3 x + 4x / 6 =1​

Sagot :

Step-by-step solving: Equations Transformable into Quadratic Equations

Is it like this?

[tex]\frac{1}{3}x + \frac{4x}{6} =1[/tex]

[tex]6(\frac{1}{3}x + \frac{4x}{6} = 1)[/tex]

2x + 4x = 6

6x = 6

x = 1

or like this?

[tex]\frac{1}{3x} + \frac{4x}{6} = 1[/tex]

[tex]6x(\frac{1}{3x} + \frac{4x}{6} = 1)[/tex]

2 + 4x² = 6x

2 + 4x² - 6x = 0

4x² - 6x + 2 = 0

2x² - 3x + 1 = 0

2x² - x - 2x + 1 = 0

x(2x - 1) - (2x - 1) = 0

(x - 1)(2x - 1) = 0

x - 1 = 0

x = 1

2x - 1 = 0

2x = 1

x = [tex]\frac{1}{2}[/tex]