ruffini method (4x^3-7x^2-11x+5)/(4x+5)

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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ln(x)+ln(x−1)=ln(3x+12)

Solution

x=6

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Solution steps

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x(x+1)(x−4)

(x+1)(x−4) צור את תבנית השברים החלקיים בערת המכנה

x(x+1)(x−4) =a₀x+1 +a₁x−4

הכפל את המשוואה במכנה

x(x+1)(x−4)(x+1)(x−4) =a₀(x+1)(x−4)x+1 +a₁(x+1)(x−4)x−4

פשט

x=a₀(x−4)+a₁(x+1)

−1, 4 :פתור את הפרמטרים הלא ידועים על ידי הצבתם במכנה

−1 פרק לגורמים את האגף השמאלי של: a₀=15

4 פרק לגורמים את האגף השמאלי של: a₁=45

a₀=15 , a₁=45

הצב את הפתרונות של השברים החלקיים על מנת לקבל את התשובה הסופית

15 x+1 +45 x−4

פשט

15(x+1) +45(x−4)

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

ruffini method (4x^3-7x^2-11x+5)/(4x+5)

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