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baradavka
@baradavka
December 2021
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помогите надо срочно решить
уравнения через дискриминант
( ИХ 5)
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natalitaranuch
1) х+
=13
х(х+7)+96=13(х+7)
х²+7х+96=13х+91
х²+7х-13х+96-91=0
х²-6х+5=0
Д=(-6)²-4*1*5=36-20=16
х₁=-(-6)+√16 / 2*1=6+4 / 2=5
х₂= -(-6) - √16 / 2*1= 6 - 4 / 2= 1
2) -3х-5=1 /х+3
-3х(х+3)-5(х+3)=1
-3х²-9х-5х-15=1
-3х²-14х-16=0
Д= (-14)²-4*(-3)*(-16)=196-192=4
х₁=-(-14)+√4 / 2*(-3)=14+2 / -6=-16/6=-2 4/6= -2 2/3
х₂=-(-14)-√4 / 2*(-3)=14-2 / -6= -2
3) х+3=-6 / (х-4)
х(х-4)+3(х-4)= -6
х²-4х+3х-12+6=0
х²-х-6=0
Д=(-1)²-4*1*(-6)=1+24=25
х₁=-(-1)+√25 / 2*1=1+5 / 2=3
х₂=-(-х)-√25 / 2*1=1-5 / 2= -4 / 2= -2
4) х+2 / х=3
х²+2=3х
х²-3х+2=0
Д =(-3)² - 4*1*2=9-8=1
х₁=-(-3)+√1 / 2*1=3+1 /2=2
х₂=-(-3) -√1 / 2*1=3-1 / 2=2 / 2=1
5) 7х+132 / (х-1)= -57
7х(х-1)+132= -57(х-1)
7х²-7х+132=-57х+57
7х²+50х+75=0
Д= 50²-4*7*75=2500-2100=400
х₁=-50+√400 / 2*7=-50+20 /14= -30/14=-2 2/14= -2 1/7
х₂=-50-√400 /2*7=-50-20 / 14= -70 /14= -5
3 votes
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Answers & Comments
х(х+7)+96=13(х+7)
х²+7х+96=13х+91
х²+7х-13х+96-91=0
х²-6х+5=0
Д=(-6)²-4*1*5=36-20=16
х₁=-(-6)+√16 / 2*1=6+4 / 2=5
х₂= -(-6) - √16 / 2*1= 6 - 4 / 2= 1
2) -3х-5=1 /х+3
-3х(х+3)-5(х+3)=1
-3х²-9х-5х-15=1
-3х²-14х-16=0
Д= (-14)²-4*(-3)*(-16)=196-192=4
х₁=-(-14)+√4 / 2*(-3)=14+2 / -6=-16/6=-2 4/6= -2 2/3
х₂=-(-14)-√4 / 2*(-3)=14-2 / -6= -2
3) х+3=-6 / (х-4)
х(х-4)+3(х-4)= -6
х²-4х+3х-12+6=0
х²-х-6=0
Д=(-1)²-4*1*(-6)=1+24=25
х₁=-(-1)+√25 / 2*1=1+5 / 2=3
х₂=-(-х)-√25 / 2*1=1-5 / 2= -4 / 2= -2
4) х+2 / х=3
х²+2=3х
х²-3х+2=0
Д =(-3)² - 4*1*2=9-8=1
х₁=-(-3)+√1 / 2*1=3+1 /2=2
х₂=-(-3) -√1 / 2*1=3-1 / 2=2 / 2=1
5) 7х+132 / (х-1)= -57
7х(х-1)+132= -57(х-1)
7х²-7х+132=-57х+57
7х²+50х+75=0
Д= 50²-4*7*75=2500-2100=400
х₁=-50+√400 / 2*7=-50+20 /14= -30/14=-2 2/14= -2 1/7
х₂=-50-√400 /2*7=-50-20 / 14= -70 /14= -5