Algebra Question with answer Practice Question and Answer

Q:

If $$ {x^{4}+x^{2}y^{2}+y^{4}={21\over256}}$$ and $$ {x^{2}+xy+y^{2}={3\over16}}$$ then $$ {2(x^{2}+y^{2})}=?$$

1396 0

  • 1
    $$ {3\over 8}$$
    Correct
    Wrong
  • 2
    $$ {5\over 8}$$
    Correct
    Wrong
  • 3
    $$ {3\over 4}$$
    Correct
    Wrong
  • 4
    $$ {5\over 16 }$$
    Correct
    Wrong
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Answer : 2. "$$ {5\over 8}$$"

Q:

if a=26 and b=22, then the value of   $${{a^3-b^3}\over {a^2-b^2}}-{3ab\over a+b}$$ is

1389 0

  • 1
    $$11\over 13$$
    Correct
    Wrong
  • 2
    $$1\over 3$$
    Correct
    Wrong
  • 3
    $$5\over 3$$
    Correct
    Wrong
  • 4
    $$13\over 11$$
    Correct
    Wrong
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Answer : 2. "$$1\over 3$$"

Q:

If $$ {a^4+1}={{a^2}\over{b^2}}{(4b^2-b^4-1)}$$,then what is the value of $${a^4+b^4}$$?

1386 0

  • 1
    16
    Correct
    Wrong
  • 2
    2
    Correct
    Wrong
  • 3
    32
    Correct
    Wrong
  • 4
    64
    Correct
    Wrong
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Answer : 2. "2"

Q:

if x4+y4+x2y2=21 and x2+y2-xy=7, then what is the value of  $${x\over y}+{y\over x}=?$$

1363 0

  • 1
    $$15\over 8$$
    Correct
    Wrong
  • 2
    $$3\over 2$$
    Correct
    Wrong
  • 3
    $$27\over 28$$
    Correct
    Wrong
  • 4
    $$3\over 4$$
    Correct
    Wrong
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Answer : 2. "$$3\over 2$$"

Q:

$$ {x^{8}+4\over{x^{4}+2x^{2}+2}}$$ is equal to

1362 0

  • 1
    $$ {x^{4}+2x^{2}-2}$$
    Correct
    Wrong
  • 2
    $$ {x^{4}-2x^{2}+2}$$
    Correct
    Wrong
  • 3
    $$ {x^{4}-2x^{2}-2}$$
    Correct
    Wrong
  • 4
    Can’t be simplified
    Correct
    Wrong
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Answer : 2. "$$ {x^{4}-2x^{2}+2}$$"

Q:

If a=25, b=15 , c=-10 then find the value of $$ {a^{3}+b^{3}+c^{3}-3abc\over {(a-b)^{2}+(b-c)^{2} +(c-a)^{2}}}$$

1335 0

  • 1
    30
    Correct
    Wrong
  • 2
    -15
    Correct
    Wrong
  • 3
    -30
    Correct
    Wrong
  • 4
    15
    Correct
    Wrong
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Answer : 4. "15"

Q:

 If 3x2-5x+1=0, then the value of ( $$x^2+{1\over 9x^2}$$) is 

1330 0

  • 1
    $$1{2\over 3} $$
    Correct
    Wrong
  • 2
    $$1{1\over 3}$$
    Correct
    Wrong
  • 3
    $$2{1\over 9}$$
    Correct
    Wrong
  • 4
    $$2{2\over 3}$$
    Correct
    Wrong
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Answer : 3. "$$2{1\over 9}$$"

Q:

If a = 7, b = 5 and c = 3, then the value of $$a^2+b^2+c^2-ab-bc-ca$$ is 

1328 0

  • 1
    0
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    12
    Correct
    Wrong
  • 4
    -12
    Correct
    Wrong
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Answer : 3. "12 "

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