Tính:
2764g + 1782g = 7739kg – 5782kg=
6183dag x 4 = 9492hg : 3=
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5,5 + \(\dfrac{3}{4}\) - 5 + \(\dfrac{1}{4}\)
(5,5 - 5) + (\(\dfrac{3}{4}\) + \(\dfrac{1}{4}\))
= 0,5 + 1
= 1,5
\(\dfrac{5}{2}\) x \(\dfrac{2}{3}\) + \(\dfrac{1}{4}\) : \(\dfrac{3}{2}\)
= \(\dfrac{5}{2}\) x \(\dfrac{2}{3}\) + \(\dfrac{1}{4}\) x \(\dfrac{2}{3}\)
= (\(\dfrac{5}{2}\) + \(\dfrac{1}{4}\)) x \(\dfrac{2}{3}\)
= (\(\dfrac{10}{4}\) + \(\dfrac{1}{4}\)) x \(\dfrac{2}{3}\)
= \(\dfrac{11}{4}\) x \(\dfrac{2}{3}\)
= \(\dfrac{11}{6}\)
Tính \(x\):
435 - [\(x\) + 16] = 425 : 17
435 - [\(x\) + 16] = 25
[\(x\) + 16] = 435 - 25
\(x\) + 16 = 410
\(x\) = 410 - 16
\(x\) = 394
Sửa đề: Các dấu bằng ở yêu cầu là dấu cộng.
1. Có: \(x+y=3\)
\(\Leftrightarrow\left(x+y\right)^2=3^2\)
\(\Leftrightarrow x^2+2xy+y^2=9\)
\(\Leftrightarrow x^2+y^2=9-2\cdot1=7\) (do \(xy=1\))
\(------\)
Lại có: \(x+y=3\)
\(\Leftrightarrow\left(x+y\right)^3=3^3\)
\(\Leftrightarrow x^3+y^3+3xy\left(x+y\right)=27\)
\(\Leftrightarrow x^3+y^3+3\cdot1\cdot3=27\) (do x + y = 3; xy = 1)
\(\Leftrightarrow x^3+y^3=18\)
Ta có: \(x^2+y^2=7\)
\(\Leftrightarrow\left(x^2+y^2\right)^2=7^2\)
\(\Leftrightarrow x^4+y^4+2\cdot\left(xy\right)^2=49\)
\(\Leftrightarrow x^4+y^4=49-2\cdot1=47\) (do xy = 1)
4 x 4 + 29 = 16 + 29 20 : 4 x 3 = 5 x 3
= 45 = 15
3 : 3 x 0 = 1 x 0 25 : 5 x 1 = 5 x 1
= 0 = 5
`9/2xx7/3-4/3xx9/2`
`=9/2xx(7/3-4/3)`
`=9/2xx3/3`
`=9/2xx1`
`=9/2`
a)\(M\left(x\right)=x^4-2x^3+x^2-5x+1\)
\(N\left(x\right)=8x^4-5x^3+x^2-3\)
a. M(x) = x2 -5x -2x3 + x4 + 1
= x4 - 2x3 + x2 - 5x + 1
N(x) = -5x3 -3 + 8x4 + x2
= 8x4 - 5x3 + x2 - 3
b. M(x) + N(x) = x4 - 2x3 + x2 - 5x + 1 + 8x4 - 5x3 + x2 - 3
= (x4 + 8x4) + (-2x3 - 5x3) + (x2 + x2 ) - 5x + (1 - 3)
= 9x4 - 7x3 + 2x2 - 5x - 2
M (x) - N (x) = x4 - 2x3 + x2 - 5x + 1 - ( 8x4 - 5x3 + x2 - 3)
= x4 - 2x3 + x2 - 5x + 1 - 8x4 + 5x3 - x2 + 3
= (x4 - 8x4 ) + ( -2x3 + 5x3 ) + (x2 - x2 ) - 5x + (1 + 3)
= -7x4 + 3x3 - 5x + 4
\(P\left(x\right)=2x^4-3x^2+x-\dfrac{2}{3}\)
\(Q\left(x\right)=x^4-x^3+x^2+\dfrac{5}{3}\)
a) \(P\left(x\right)+Q\left(x\right)=2x^4-3x^2+x-\dfrac{2}{3}+x^4-x^3+x^2+\dfrac{5}{3}\)
\(\Rightarrow P\left(x\right)+Q\left(x\right)=3x^4-x^3-2x^2+x-\dfrac{2}{3}+\dfrac{5}{3}\)
\(\Rightarrow P\left(x\right)+Q\left(x\right)=3x^4-x^3-2x^2+x+1\)
b) \(P\left(x\right)-Q\left(x\right)=2x^4-3x^2+x-\dfrac{2}{3}-\left(x^4-x^3+x^2+\dfrac{5}{3}\right)\)
\(\Rightarrow P\left(x\right)-Q\left(x\right)=2x^4-3x^2+x-\dfrac{2}{3}-x^4+x^3-x^2-\dfrac{5}{3}\)
\(\Rightarrow P\left(x\right)-Q\left(x\right)=x^4+x^3-4x^2+x-\dfrac{2}{3}-\dfrac{5}{3}\)
\(\Rightarrow P\left(x\right)-Q\left(x\right)=x^4+x^3-4x^2+x-\dfrac{7}{3}\)
a) P(x) + Q(x) = (2x⁴ - 3x² + x - 2/3) + (x⁴ - x³ + x² + 5/3)
= 2x⁴ - 3x² + x - 2/3 + x⁴ - x³ + x² + 5/3
= (2x⁴ + x⁴) - x³ + (-3x² + x²) + x + (-2/3 + 5/3)
= 3x⁴ - x³ - 2x² + x + 1
b) P(x) - Q(x) = (2x⁴ - 3x² + x - 2/3) - (x⁴ - x³ + x² + 5/3)
= 2x⁴ - 3x² + x - 2/3 - x⁴ + x³ - x² - 5/3
= (2x⁴ - x⁴) + x³ + (-3x² - x²) + x + (-2/3 - 5/3)
= x⁴ + x³ - 4x² + x - 7/3
3 x 4 = 12 3 x 5 = 15
4 x 7 = 28 5 x 4 = 20
15 : 3 = 5 24 : 4 = 6
5 x 6 = 30 5 x 9 = 45
25 : 5 = 5
3 × 4 = 12 3 × 5 = 15
4 × 7 = 28 5 × 4 = 20
15 ∶ 3 = 5 24 ∶ 4 = 6
5 × 6 = 30 5 × 9 = 45
× 25 ∶ 5 = 5
\(\dfrac{1}{2.3}+\dfrac{1}{3.4}+...+\dfrac{1}{49.50}\)
\(=\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{49}-\dfrac{1}{50}\)
\(=\dfrac{1}{2}-\dfrac{1}{50}=\dfrac{12}{25}\)
3/4 x 7/12 + 3/4 x 1/6 + 3/4 x 1/4
=3/4 x (7/12 + 1/6 + 1/4)
=3/4 x (7/12 + 2/12 + 3/12)
=3/4 x 1
=3/4
Chúc học tốt~
2764 + 1782 = 4546 g
6183 dag x 4 = 24732
7739 kg - 5782 kg = 1957 kg
9492 hg : 3 = 3164 hg