13 x 58 x 4 + 32x 36 x2 + 52 x10
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1 tính nhanh
13 x 58 x 4 + 32 x 36 x2 +52 x 10
14 x 35 x 5 + 10x 25 x 7 +20 x 70
24 x (15 +49) +12x (50+42)
Tìm số nguyên x, biết:a)
5
8
x
14
b)
x
6
1
−
3
c)
3
−
5
x
10
d)
3
5
−
9...
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Tìm số nguyên x, biết:
a) 5 8 = x 14
b) x 6 = 1 − 3
c) 3 − 5 = x 10
d) 3 5 = − 9 x
e) x 2 = 2 x
f) x − 5 = − 5 x
a) x ∈ ∅
b) x = -2
c) x = -6
d) x = -15
e) x = 2 hoặc x = -2
f) x = 5 hoặc x = -5
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Quy đồng mẫu thức a) 74x+1674�+16 và 11x2−1611�2−16b) 6(x+3)36(�+3)3 và x−32x(x+3)2�−32�(�+3)2 c) −61−x−61−� ; 3xx2+x+13��2+�+1 và x2−3x+5x3−1�2−3�+5�3−1 d)175x175� ; 24x−2y24�−2� và x−y8y2−2x2
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Quy đồng mẫu thức a) và b) và c) ; và d) ; và
a: ĐKXĐ: \(x\notin\left\{4;-4\right\}\)
\(\dfrac{7}{4x+16}=\dfrac{7}{4\left(x+4\right)}=\dfrac{7\left(x-4\right)}{4\left(x+4\right)\left(x-4\right)}\)
\(\dfrac{11}{x^2-16}=\dfrac{11\cdot4}{4\left(x^2-16\right)}=\dfrac{44}{4\left(x-4\right)\left(x+4\right)}\)
b: \(\dfrac{6}{x\left(x+3\right)^2};\dfrac{x-3}{2x\left(x+3\right)^2}\)
ĐKXĐ: \(x\notin\left\{0;-3\right\}\)
\(\dfrac{6}{x\left(x+3\right)^2}=\dfrac{6\cdot2}{2x\left(x+3\right)^2}=\dfrac{12}{2x\left(x+3\right)^2}\)
\(\dfrac{x-3}{2x\left(x+3\right)^2}=\dfrac{x-3}{2x\left(x+3\right)^2}\)
c: \(\dfrac{-6}{1-x};\dfrac{3x}{x^2+x+1};\dfrac{x^2-3x+5}{x^3-1}\)
ĐKXĐ: \(x\ne1\)
\(-\dfrac{6}{1-x}=\dfrac{6}{x-1}=\dfrac{6\left(x^2+x+1\right)}{\left(x-1\right)\left(x^2+x+1\right)}=\dfrac{6x^2+6x+6}{\left(x-1\right)\left(x^2+x+1\right)}\)
\(\dfrac{3x}{x^2+x+1}=\dfrac{3x\left(x-1\right)}{\left(x-1\right)\left(x^2+x+1\right)}=\dfrac{3x^2-3x}{\left(x-1\right)\left(x^2+x+1\right)}\)
\(\dfrac{x^2-3x+5}{x^3-1}=\dfrac{x^2-3x+5}{\left(x-1\right)\left(x^2+x+1\right)}\)
d: \(\dfrac{17}{5x};\dfrac{24}{x-2y};\dfrac{x-y}{8y^2-2x^2}\)
ĐKXĐ: \(x\ne0;x\ne\pm2y\)
\(\dfrac{17}{5x}=\dfrac{17\cdot2\left(x-2y\right)\left(x+2y\right)}{5x\cdot2\cdot\left(x-2y\right)\left(x+2y\right)}=\dfrac{34\left(x^2-4y^2\right)}{10x\left(x-2y\right)\left(x+2y\right)}\)
\(\dfrac{24}{x-2y}=\dfrac{24\cdot10x\left(x+2y\right)}{10x\left(x-2y\right)\left(x+2y\right)}=\dfrac{240x\left(x+2y\right)}{10x\left(x-2y\right)\left(x+2y\right)}\)
\(\dfrac{x-y}{8y^2-2x^2}=\dfrac{-\left(x-y\right)}{2x^2-8y^2}=\dfrac{-\left(x-y\right)}{2\left(x-2y\right)\left(x+2y\right)}\)
\(=\dfrac{-5x\left(x-y\right)}{10x\left(x-2y\right)\left(x+2y\right)}=\dfrac{-5x^2+5xy}{10x\left(x-2y\right)\left(x+2y\right)}\)
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Tìm số tự nhiên x,biết:
a)58 + 7x = 100
b) ( x –12):12=12
c) x -56 : 4= 16
d) 101 +(36 –4x) =105
e) 2(x-51) = 2.23+ 20
f) 10 -(x –3): 2 = 72–110
g) 2x –49 = 5.32h) [(8x -12) : 4].33= 36
i) 52x –3–2 . 52= 52. 3 k) (x3–7) : 4 = 5
a: 7x+58=100
nên 7x=42
hay x=6
c: x-56:x=16
nên x-14=16
hay x=30
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c)x - 56 : 4 = 16
x - 56 = 16 : 4
x- 56 = 4
x =4 + 56
x = 60
d)101 + (36 - 4x) = 105
(36- 4x ) = 105 - 101
36 - 4x = 4
4x = 36 - 4
4x = 32
x = 32:4
x = 8
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a) 58 + 7x = 100
7x = 100 - 58
7x = 42
x = 42 : 7
x = 6
b) (x - 12) : 12 = 12
x - 12 = 12 . 12
x - 12 = 144
x = 144 + 12
x = 156
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Xem thêm câu trả lời
Tính nhanh
1) 13 x 58 x 4 + 32 x 26 x 2 + 52 x 10
2) 15 x 37 x 4 + 120 x 21 + 21 x 5 x 12
1/13.58.4+32.26.2+52.10
=52.58+52.32+52.10
=52(58+32+10)=52.100=5200
2/15.37.4+120.21+21.5.12
=60.37+120.21+60.21
=60(37+2.21+21)=60.100=6000
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= 52 (58 + 32 +10 ) =52 x 100 =5200
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= 26/24 x 27/5 x2x34/9 x 2x2/17
= 13/12 x 27/5 x2 x34/9 x2 x 2/17
= 13/12 x2x2 x27/5 x 34/9 x2/17
= 13/3 x27/5 x 4/9
= 117/5x4/9
= 52/5
Tính nhanh a, 214 x 13 + 214 x 17 b, 58 x 635 - 48 x 635 c, 4 x 19 x 25 d, 36 x 32 :9
a: =214*(13+17)=214*30=6420
b: =635(58-48)=635*10=6350
c: =100*19=1900
d: =4*32=128
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Tìm x, biết:
x
(
x
2
+
4
x
−
4
)
−
8
1
8
x
3
+
1
2
x
2
−
3
2...
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Tìm x, biết:
x ( x 2 + 4 x − 4 ) − 8 1 8 x 3 + 1 2 x 2 − 3 2 x − 3 = 16 .
Rút gọn VT = 8x + 24. Phương trình trở thành 8x + 24 = 16. Giải phương trình thu được x = -1.
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C = 48.(52 + 1) (54 + 1) (58 + 1)(516 + 1)(532 + 1)(564 + 1)
E= (x - 2)3- (x + 1).(x2 - x + 1)+6.(x - 1)2
\(C=48\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\left(5^{32}+1\right)\left(5^{64}+1\right)=2\left(5^2-1\right)\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\left(5^{32}+1\right)\left(5^{64}+1\right)=2\left(5^4-1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\left(5^{32}+1\right)\left(5^{64}+1\right)\)
\(=2\left(5^{128}-1\right)=2.5^{128}-2\)
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c: Ta có: \(C=48\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\cdot\left(5^{32}+1\right)\left(5^{64}+1\right)\)
\(=2\cdot\left(5^2-1\right)\left(5^2+1\right)\cdot\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\left(5^{32}+1\right)\left(5^{64}+1\right)\)
\(=2\cdot\left(5^4-1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\left(5^{32}+1\right)\left(5^{64}+1\right)\)
\(=2\cdot\left(5^8-1\right)\left(5^8+1\right)\left(5^{16}+1\right)\left(5^{32}+1\right)\left(5^{64}+1\right)\)
\(=2\cdot\left(5^{16}-1\right)\cdot\left(5^{16}+1\right)\cdot\left(5^{32}+1\right)\left(5^{64}+1\right)\)
\(=2\cdot\left(5^{32}-1\right)\left(5^{32}+1\right)\left(5^{64}+1\right)\)
\(=2\cdot\left(5^{64}-1\right)\left(5^{64}+1\right)\)
\(=2\cdot\left(5^{128}-1\right)\)
\(=2\cdot5^{128}-2\)
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d: Ta có: \(E=\left(x-2\right)^3-\left(x+1\right)\left(x^2-x+1\right)+6\left(x-1\right)^2\)
\(=x^3-6x^2+12x-8-x^3-1+6x^2-12x+6\)
\(=-3\)
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