Algebra Practice Question and Answer
8 Q: рдпрджрд┐┬а(a-b)=-3 , (b-c)=5 and (c-a)=-2┬ард╣реИ рддреЛ┬а$$ {a^{3}+b^{3}+c^{3}-3abc\over a+b+c}$$┬ардХрд╛ рдорд╛рди рд╣реИред
1331 05f4df09a5e74bc4ee553ba40
5f4df09a5e74bc4ee553ba40- 118false
- 217true
- 310.5false
- 420.5false
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Answer : 2. "17"
Q: рдпрджрд┐┬а$$ {x=a^{2\over3}-a^{-2\over3}}$$┬а┬ард╣реИ рддреЛ┬а$$ {x^{3}+3x}$$┬ардХрд╛ рдорд╛рди рд╣реИред
1179 05f4defe0081699374e8541f9
5f4defe0081699374e8541f9- 1$$ {a^2-{1\over{a^{2}}}}$$true
- 2$$ {a^2+{1\over{a^{2}}}}$$false
- 3$$ {a+{1\over a}}$$false
- 4$$ {a-{1\over a}}$$false
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Answer : 1. "$$ {a^2-{1\over{a^{2}}}}$$"
Q: рдпрджрд┐┬а$$ x=\sqrt{\sqrt{5}+1\over {\sqrt{5}-1}}$$┬а┬ард╣реИ рддреЛ┬а$$ {5x^2-5x-1}$$┬ардХрд╛ рдорд╛рди рд╣реИред
1092 05f4def947e85226ee745bec7
5f4def947e85226ee745bec7- 10false
- 23false
- 34true
- 45false
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Answer : 3. "4"
Q: рдпрджрд┐┬а$$ {x+{1\over x}}=2$$┬ард╣реИ рддреЛ┬а$${2x^2+2}\over{3x^2+5x+3}$$┬ардХрд╛ рдорд╛рди рд╣реЛрдЧрд╛?
1053 05f3f90d59ab97f7febf662ee
5f3f90d59ab97f7febf662ee- 1$${4\over 11}$$true
- 2$${5\over 11}$$false
- 3$${7\over 5}$$false
- 4$${4\over 9}$$false
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Answer : 1. "$${4\over 11}$$"
Q: рдпрджрд┐┬а$$ {{x+1}\over4x}={5\over 2}$$,┬арддреЛ┬а$$ 64x^6+1\over 8x^3 ┬а$$┬ардХрд╛ рдорд╛рди рдХреНрдпрд╛┬ард╣реЛрдЧрд╛┬а?
1581 05ddcdd14e1ce690ab506aa1e
5ddcdd14e1ce690ab506aa1e- 1110false
- 2115true
- 3125false
- 4120false
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Answer : 2. "115"
Q: рдпрджрд┐┬аx - y = 3┬ард╣реЛ рддреЛ┬аx3┬а- y3-9xy┬ардХрд╛ рдорд╛рди рдХреНрдпрд╛ рд╣реЛрдЧрд╛┬а? ┬а
1607 05f2e4db2b6a1cb7a831c136b
5f2e4db2b6a1cb7a831c136b- 118false
- 227true
- 33false
- 49false
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Answer : 2. "27 "
Q: рдпрджрд┐┬аbc+ab+ca=abc┬ард╣реИ рддреЛ┬а$$ {b+c\over {bc(a-1)}}+{a-c\over {ac(b-1)}}+{a+b\over {ab(c-1)}}$$┬ардХрд╛ рдорд╛рди рд╣реЛрдЧрд╛
1433 05f2d2c7f79b9e641a76158c2
5f2d2c7f79b9e641a76158c2- 12false
- 21true
- 30false
- 4$$ {-1\over {2}}$$false
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Answer : 2. "1"
Q: рдпрджрд┐┬а$$ {3x+}{2\over {\sqrt{x}}}=1$$ ┬ард╣реИ рддреЛ$$ {x-{\sqrt{x}}}=?$$
1526 05f2d2bc6b57ade01ca000684
5f2d2bc6b57ade01ca000684- 1$$ {-2\over {\sqrt{3}}}$$true
- 2$$ {-3\over {\sqrt{3}}}$$false
- 3$$ {2\over {\sqrt{3}}}$$false
- 4$$ {-1\over {\sqrt{3}}}$$false
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