2,4x 1994x 2+ 1,6x 3996x 3+ 1,2x 4010x4
tính nhanh
2,4x 1994x 2+ 1,6x 3996x 3+ 1,2x 4010x4
2,4 × 1994 × 2 + 1,6 × 3996 × 3 + 1,2 × 4010 × 4
= 4,8 × 1994 + 4,8 × 3996 + 4,8 × 4010
= 4,8 × (1994 + 3996 + 4010)
= 4,8 × 10000
= 48000
2,4x^3 - 10x^2y ) ( 7x^2y - 2,4x^3 3xy^2 )
\(1,6x+\dfrac{2}{3}=-0,448\)
\(1,6x+\dfrac{2}{3}=-0,448\)
\(\Leftrightarrow1,6x=-0,448-\dfrac{2}{3}\\ \Leftrightarrow1,6x=-\dfrac{418}{375}\\ \Leftrightarrow x=-\dfrac{418}{375}:1,6\\ \Leftrightarrow x=-\dfrac{209}{300}\)
Thực hiện các phép tính sau:
2,4x^3 - 10x^2y ) ( 7x^2y - 2,4x^3 3xy^2 )
a) ( -3x^2y - 2xy^2 +6) + (-x2y + 5xy^2 -1) b) (1,6x^3 -3,8x^2y) + (-2,2x^2y - 1,6x^3 + 0,5xy^2) c) (6,7xy^2 - 2,7xy + 5y^2) - (1,3xy - 3,3xy^2 + 5y^2) d) ( 3x^2 - 2xy + y^2) + (x^2 -xy + 2y^2) - ( 4x^2 - y^2) e) ( x^2 + y^2 - 2xy) - ( x^2 + y^2 + 2xy) + ( 4xy -1)
\(a)\left(-3x^2y-2xy^2+6\right)+\left(-x^2y+5xy^2-1\right)\)
\(=-3x^2y-2xy^2+6+-x^2y+5xy^2-1\)
\(=\left(-3x^2y-x^2y\right)+\left(-2xy^2+5xy^2\right)+\left(6-1\right)\)
\(=-4x^2y+3xy^2+5\)
\(b)\left(1,6x^3-3,8x^2y\right)+\left(-2,2x^2y-1,6x^3+0,5xy^2\right)\)
\(=1,6x^3-3,8x^2y+-2,2x^2y-1,6x^3+0,5xy^2\)
\(=\left(1,6x^3-1,6x^3\right)+\left(-3,8x^2y+-2,2x^2y\right)+0,5xy^2\)
\(=-6x^2y+0,5xy^2\)
\(c)\left(6,7xy^2-2,7xy+5y^2\right)-\left(1,3xy-3,3xy^2+5y^2\right)\)
\(=6,7xy^2-2,7xy+5y^2-1,3xy+3,3xy^2-5y^2\)
\(=\left(6,7xy^2+3,3xy^2\right)+\left(-2,7xy-1,3xy\right)+\left(5y^2-5y^2\right)\)
\(=10xy^2+-4xy\)
\(=10xy^2-4xy\)
\(d)\left(3x^2-2xy+y^2\right)+\left(x^2-xy+2y^2\right)-\left(4x^2-y^2\right)\)
\(=3x^2-2xy+y^2+x^2-xy+2y^2-4x^2+y^2\)
\(=\left(3x^2+x^2-4x^2\right)+\left(-2xy-xy\right)+\left(y^2+2y^2+y^2\right)\)
\(=-3xy+4y^2\)
\(e)\left(x^2+y^2-2xy\right)-\left(x^2+y^2+2xy\right)+\left(4xy-1\right)\)
\(=x^2+y^2-2xy-x^2-y^2-2xy+4xy-1\)
\(=\left(x^2-x^2\right)+\left(y^2-y^2\right)+\left(-2xy-2xy+4xy\right)-1\)
\(=-1\)
60%+2,4x + x : 3 = 2
Lời giải:
$60\text{%}+2,4x+x:3=2$
$0,6+2,4x+x.\frac{1}{3}=2$
$0,6+x(2,4+\frac{1}{3})=2$
$0,6+x.\frac{41}{15}=2$
$x.\frac{41}{15}=2-0,6=\frac{7}{5}$
$x=\frac{7}{5}: \frac{41}{15}=\frac{21}{41}$
rút gọn : a) (-5x^2y+3xy^2+7)-(-6x^2y+4xy^2-5)
b)(2,4x^3-10x^2y)+(7x^2y-2,4x^3+3xy^2)
c) -(15x^2y-7xy^2-6y^2)-(2x^2-12x^2y+7xy^2)
giúp mình với , mình đang cần gấp
1,6x+2/5=-0,448
A.0,53 B.-0,35 C.-0,53 D.0,35
\(1,6x+\dfrac{2}{5}=-0,448\\ 1,6x=-0,448-0,4\\ 1,6x=-0,848\\ -x=0,53\)
=> chọn C
\(...\Rightarrow1,6x=-0,448-0,4\)
\(\Rightarrow1,6x=-0,848\Rightarrow x=-0,53\rightarrow C\)
Tính nhẩm nghiệm của các phương trình:
a ) 1 , 5 x 2 − 1 , 6 x + 0 , 1 = 0 b ) 3 x 2 − ( 1 − 3 ) x − 1 = 0 c ) ( 2 − 3 ) x 2 + 2 3 x − ( 2 + 3 ) = 0 d ) ( m − 1 ) x 2 − ( 2 m + 3 ) x + m + 4 = 0 v ớ i m ≠ 1.
a) 1 , 5 x 2 – 1 , 6 x + 0 , 1 = 0
Có a = 1,5; b = -1,6; c = 0,1
⇒ a + b + c = 1,5 – 1,6 + 0,1 = 0
⇒ Phương trình có hai nghiệm x 1 = 1 ; x 2 = c / a = 1 / 15 .
d) ( m – 1 ) x 2 – ( 2 m + 3 ) x + m + 4 = 0
Có a = m – 1 ; b = - (2m + 3) ; c = m + 4
⇒ a + b + c = (m – 1) – (2m + 3) + m + 4 = m -1 – 2m – 3 + m + 4 = 0
⇒ Phương trình có hai nghiệm