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Algebra Practice Questions & Answers

42 vote

If x1 and x2 are the roots of the equation 2x2 + 3x – 9 = 0 then the equation which has the roots 1/x1 and 1/x2 is:

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If x1 and x2 are the roots of the equation 2x2 + 3x – 9 = 0 then the equation which has the roots 1/x1 and 1/x2 is:
1). 9x2 + 3x – 2 = 0
2). -9x2 – 3x – 2 = 0
3). 9x2 – 3x – 2 = 0
4). 9x2 – 3x + 2 = 0

0 vote

If (x + y + z) = 0 then find the value of \(\frac{{{{\rm{x}}^2}{\rm{\;}} + {\rm{\;}}{{\rm{y}}^2} - {\rm{\;}}{{\rm{z}}^2}}}{{{{({\rm{x\;}} + {\rm{\;y}})}^{2{\rm{\;}}}} - {\rm{\;}}{{\left( {{\rm{x\;}} - {\rm{\;y}}} \right)}^2}{\rm{\;}}}}\) 

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If (x + y + z) = 0 then find the value of \(\frac{{{{\rm{x}}^2}{\rm{\;}} + {\rm{\;}}{{\rm{y}}^2} - {\rm{\;}}{{\rm{z}}^2}}}{{{{({\rm{x\;}} + {\rm{\;y}})}^{2{\rm{\;}}}} - {\rm{\;}}{{\left( {{\rm{x\;}} - {\rm{\;y}}} \right)}^2}{\rm{\;}}}}\) 


1). 1
2). -1/2
3). -1/4
4). 1/2

0 vote

If 2x - 5y = 5 and 2x - y = 9, then x - y is ______.

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If 2x - 5y = 5 and 2x - y = 9, then x - y is ______.
1). 2
2). 4
3). 6
4). 3

0 vote

Quadratic equation corresponding to the roots (3 + √7) and (3 – √7) is

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Quadratic equation corresponding to the roots (3 + √7) and (3 – √7) is
1). x2 – 6x + 2 = 0
2). x2 + 6x – 2 = 0
3). x2 – 6x – 2 = 0
4). x2 + 6x + 2 = 0

0 vote

If (-5x)/3 + 2 = x - 6 then find the value of ‘x’

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If (-5x)/3 + 2 = x - 6 then find the value of ‘x’
1). 1
2). 2
3). 3
4). 4