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a: =25(15+45*3)
=25*150
=3750
b: \(=-10\left(25+75-50\right)=-10\cdot50=-500\)
c: =>3^x-2=27
=>x-2=3
=>x=5
d: =>2x-5=-4
=>2x=1
=>x=1/2
e: =>2(x-1)^2=32
=>(x-1)^2=16
=>x-1=4 hoặc x-1=-4
=>x=-3 hoặc x=5
f: =>25(x+3)=75
=>x+3=3
=>x=0
\(\left(x+1\right)^2+\dfrac{3}{25}=\dfrac{19}{25}\\ \left(x+1\right)^2=\dfrac{19}{25}-\dfrac{3}{25}\\ \left(x+1\right)^2=\dfrac{16}{25}\\TH1: \left(x+1\right)^2=\left(\dfrac{4}{5}\right)^2\\x+1=\dfrac{4}{5}\\ x=\dfrac{4}{5}-1\\ x=\dfrac{-1}{5}\\ TH2:\left(x+1\right)^2=\left(\dfrac{-4}{5}\right)^2\\ x+1=\dfrac{-4}{5}\\ x=\dfrac{-4}{5}-1\\ x=\dfrac{-9}{5} \)
a ) 28 + x = − 59 x = − 59 − 28 x = − 87
b ) x − 4 x 2 − 25 = 0 ⇔ x − 4 = 0 x 2 − 25 = 0 ⇔ x = 4 x 2 = 25 ⇔ x = 4 x = ± 5
x + 2 = 17 ⇒ x + 2 = 17 x + 2 = − 17 ⇒ x = 15 x = − 19
d ) − 19 + 4 ( 2 − x ) = 25 − x − 19 + 8 − 4 x = 25 − x 4 x − x = − 19 + 8 − 25 3 x = − 36 = > x = − 12
\(x\left(x-2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x-2=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x=2\end{cases}}\)
b) 35 x 24 + 35 x 76 +55 x 19 +55 x 91
= 35 x ( 24 + 76 ) + 55 x ( 19 + 91 )
= 35 x100 +55 x 100
= 100 x ( 55 + 35 )
= 90 x 100 =9 000
c) \(6\cdot25\cdot4+4\cdot19\cdot6-2\cdot14\cdot12\)
\(=24\cdot25+24\cdot19-24\cdot14\)
\(=24\left(25+19-14\right)\)
\(=24\cdot30=720\)
d) \(19\cdot64+76\cdot34\)
\(=76\cdot19+76\cdot34\)
\(=76\left(19+34\right)=76\cdot53=4028\)
a) 2 x 16 x 50 x 25
= ( 2 x 50 ) x ( 16 x 25 )
= 100 x 400
= 40 000
− 19 + 4 ( 2 − x ) = 25 − x − 19 + 8 − 4 x = 25 − x 4 x − x = − 19 + 8 − 25 3 x = − 36 = > x = − 12
-(2x + 2) + 25 = -19
-(2x + 2) = -19 - 25
-(2x + 2) = -44
-(2x) = -44 - 2
-(2x) = -46
x = -(-46 : 2)
x = 23