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what is the standard form of the quadratic equation
[tex] \frac{6}{x} + \frac{x - 3}{4} = 2[/tex]


Sagot :

Answer:

x²-11x+24=0

Step-by-step explanation:

> 6/x+x-3/4=2

> 6/x+x-3/4-2=0

> 6×4/x×4+(x-3)x/4×x-2/1=0

> 24/4x+(x²-3x/4x-2/1)=0

> 24/4x+(x²-3x/4x-2(4x)/1(4x)=0

> 24/4x+x²-3x/4x-8x/4x=0

> 24+x²-3x-8/4x=0

> 24+x²-11x/4x=0

> x²-11x+24=0

Answer:

x=8,x=3

Step-by-step explanation:

LCM of 4x ; [tex]\frac{6}{x}\cdot \:4x+\frac{x-3}{4}\cdot \:4x=2\cdot \:4x[/tex]

simplify: [tex]24+x\left(x-3\right)=8x[/tex]

solve 24+x(x-3)=8x     undefined points: x=0

x=8,x=3