Tìm số nguyên x biết: (x+1)^2 - 15 = 85
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a ) x : − 7 – 6 = − 15 x : − 7 = − 9 x = − 9 . − 7 x = 63
b ) x : 12 – 12 = − 37 x : 12 = − 25 x = − 25 . 12 x = 3 00
c ) x : − 25 + 81 = 85 x : − 25 = 4 x = 4 . − 25 x = − 1 00
a) \(x-\left(-15\right)=-13-\left(-85-13\right)\)
\(\Leftrightarrow x+15=-13-\left(-98\right)\Leftrightarrow x+15=-13+98=85\)
\(\Leftrightarrow x=85-15=70\)
b) \(\left(-9-x\right)+\left(x-14\right)=17-\left(-8+x\right)\)
\(\Leftrightarrow-9-x+x-14=17+8-x\Leftrightarrow-23=25-x\)
\(\Leftrightarrow-23-25=-x\Leftrightarrow-x=-48\Leftrightarrow x=48\)
Tự kết luận
Bài 1:tính
a)65.(-19)+19.(-35)
=65.(-19)+(-19).35
=(-19).(65+35)
=(-19).100
=-1900
b)85.(35-27)-35.(85-27)
=85.35-85.27-35.85+35.27
=(85.35-35.85)+(-85.27+35.27)
=27.(-85+35)
=27.(-50)
=1350
c)47.(45-15)-47.(45+15)
=47.[(45-15)-(45+15)]
=47.[30-60]
=47.(-30)
=-1410
Bài2: Tìm các số nguyên x biết
a)(-2).(x+6)+6.(x-10)=8
-2x-12+6x-60=8
4x-72=8
4x=72+8
4x=50
x=\(\frac{25}{2}\)
b)(-4).(2x+9)-(-8x+3)-(x+13)=0
-6x-36+8x-3-x-13=0
x-41=0
x=41
Bài 1: Tính
a) \(65.\left(-19\right)+19.\left(-35\right)\)
= \(-1235+-665\)
= \(-1900\)
b) \(85.\left(35-27\right)-35.\left(85-27\right)\)
= \(-1350\)
c) \(47.\left(45-15\right)-47.\left(45+15\right)\)
=\(-1410\)
Bài 2: Tìm x:
\(\left(-2\right).\left(x+6\right)+6.\left(x-10\right)=8\)
\(x=20\)
\(x-43=35-x-48\)
\(x+x=43+35-48=30\)
2.x=30=> x=15
2) -x+6-85=x+51-54
-x-79=x-3
2x=76=> x=38
3)\(\orbr{\begin{cases}-7-x-3=-3\Rightarrow x=-7\\-7-x-3=3\Rightarrow x=-13\end{cases}}\)
1,
a,\(2020-\left(249+2020\right)+\left(249-573\right)\)
\(=2020-249-2020+249-573\)
\(=-573\)
b,\(\left|-257\right|+\left(-3\right)^0-\left(18+257\right)\)
\(=257+1-18-257\)
\(=1-18=-17\)
\(c,25.\left(85-47\right)-85.\left(47+25\right)\)
\(=25.85-25.47-47.85+85.25\)
\(=85.\left(25-47+25\right)-25.47\)
\(=85.3-25.47\)
\(=-920\)
2,
\(a,15-5.\left(x+2\right)=-30\)
\(=>5.\left(x+2\right)=15+30=45\)
\(=>x+2=\frac{45}{5}=9\)
\(=>x=7\)
\(b,\left(x+2\right)^2+5=105\)
\(=>\left(x+2\right)^2=100\)
\(=>\left(x+2\right)^2=10^2\)
\(=>x+2=10\)
\(=>x=8\)
\(c,\left|2x-5\right|-\left(-6\right)=11\)
\(=>\left|2x-5\right|=11-6=5\)
\(=>\orbr{\begin{cases}2x-5=5\\2x-5=-5\end{cases}}\)
\(=>\orbr{\begin{cases}2x=5-5=0\\2x=-5+5=0\end{cases}=>x=0}\)
`(x+1)^2 - 15 = 85`
`=>(x+1)^2=85+15`
`=>(x+1)^2=100`
`=>(x+1)^2=+-10^2`
\(\Rightarrow\left[{}\begin{matrix}x+1=10\\x+1=-10\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=9\\x=-11\end{matrix}\right.\)