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Hardiwen
@Hardiwen
July 2022
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[tex] \frac{2 x^{2} - 10x + 6}{x - 5} \leq x[/tex]
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sedinalana
Verified answer
(2x²-10x+6)/(x-5) -x≤0
(2x²-10x+6-x²+5x)/(x-5)≤0
(x²-5x+6)/(x-5)=0
x²-5x+6=0
x1+x2=5 U x1*x2=6⇒x1=2 U x2=3
x-5=0⇒x=5
_ + _ +
-------[2]-------------[3]----------------(5)-----------
x∈(-∞;2] U [3;5)
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Verified answer
(2x²-10x+6)/(x-5) -x≤0(2x²-10x+6-x²+5x)/(x-5)≤0
(x²-5x+6)/(x-5)=0
x²-5x+6=0
x1+x2=5 U x1*x2=6⇒x1=2 U x2=3
x-5=0⇒x=5
_ + _ +
-------[2]-------------[3]----------------(5)-----------
x∈(-∞;2] U [3;5)