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Discuss the signs of the following quadr...

Discuss the signs of the following quadratic expressions when x is real.
`x^(2)-x+3`

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The correct Answer is:
`rArr` The given expression is positive for all real x.
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-QUADRATIC EXPRESSIONS-TEXTUAL EXERCISES
  1. If the equation x^(2)+ax+b=0 and x^(2)+cx+d=0 have a common root and t...

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  2. Discuss the signs of the following quadratic expressions when x is rea...

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  3. Discuss the signs of the following quadratic expressions when x is rea...

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  4. For what values of x, the following expressions are negative ? x^(2)...

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  5. For what values of x, the following expressions are negative ? 15+4x...

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  6. For what values of x, the following expressions are negative ? 2x^(2...

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  7. For what values of x, the following expressions are negative ? x^(2)...

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  8. Find the changes in the sign of the following expressions and find the...

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  9. Find the changes in the sign of the following expressions and find the...

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  10. Find the maximum or minimum of the following expressions as x varies o...

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  11. Find the maximum or minimum of the following expressions as x varies o...

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  12. Find the maximum or minimum of the following expressions as x varies o...

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  13. Determine the range of the following expressions. (x^(2)+x+1)/(x^(2)...

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  14. Determine the range of the following expressions. (x+2)/(2x^(2)+3x+6...

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  15. Determine the range of the following expressions. ((x-1)(x+2))/(x+3)

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  16. Determine the range of the following expressions. (2x^(2)-6x+5)/(x^(...

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  17. If the expressions (x-p)/(x^(2)-3x+2) takes all real value for x in R,...

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  18. If c^(2) ne ab and the roots of (c^(2)-ab)x^(2)-2(a^(2)-bc)x+(b^(2)-ac...

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  19. Solve the following inequations by algebraic method. 15x^(2)+4x-4 le...

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  20. Solve the following inequations by algebraic method. x^(2)-2x+1 lt 0

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