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If the quadratic equations ax^(2)+2bx+c=...

If the quadratic equations `ax^(2)+2bx+c=0 and ax^(2)+2cx+b=0, (b ne c)` have a common root, then show that `a+4b+4c=0`

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The correct Answer is:
`therefore a+4b+4c=0`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-QUADRATIC EXPRESSIONS-TEXTUAL EXERCISES
  1. Solve (x^(2)+(1)/(x^(2)))-5(x+(1)/(x))+6=0," when "x ne0

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  2. Find a quadratic equation for which the sum of the roots is 7 and the ...

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  3. If the quadratic equations ax^(2)+2bx+c=0 and ax^(2)+2cx+b=0, (b ne c)...

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  4. If x^(2)-6x+5=0 and x^(2)-3ax+35=0 have common root, then find a.

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  5. If the equation x^(2)+ax+b=0 and x^(2)+cx+d=0 have a common root and t...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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