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If alpha and beta are roots of ax^2+bx+c...

If `alpha` and `beta` are roots of `ax^2+bx+c`=0
then prove that `(alpha/beta+beta/alpha)`=`((b^2-2ac)/(ac))`

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PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
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  2. Find two negative integers whose difference is 3 and sum of their squa...

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  3. If alpha and beta are roots of ax^2+bx+c=0 then prove that (alpha/bet...

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  4. If (p^2+2)x^2+2p^2x+(P^2-4)=0 has root of opposite sign,then find the ...

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  5. Find the condition such that the quadratic equations ax^2+bx+c=0 and x...

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  6. If (x-1) is the factors fo polynomial x^3-px+q, then prove that p-q=1

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  7. Two roots of the equation,x^3+qx^2+11x-p=0 are 2 and 3, find (p-q)

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  8. Find the values of K for which the inequality (x-3k)(x-k-3)lt0 is sati...

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  9. Let alpha and beta be the roots of the equation ax^2+2bx+c=0 and alpha...

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  10. If sin theta,costheta are the roots of the equation ax^2+bx+c=0 then f...

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  11. If the roots alpha and beta of the quadratic equation ax^2+bx+c=0 are ...

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  12. If x^2-px+4gt0 for all real 'x' then find 'p'

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  13. For xinR, Prove that the given expression (x^2+34x-71)/(x^2+2x-7) can ...

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  14. If a,b,cinR : ane0 and the quadratic equation ax^2+bx+c=0 has no real ...

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  15. Find the values of the parameter a for which the roots of the quadrati...

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  16. Let a,b,c be real. If ax^2+bx+c=0 has two real roots alpha,beta where ...

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  17. Find the value of a which the equation 4x^2-2x+a=0 has two roots lying...

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  18. Find the set of all x for which : (2x)/(2x^2+5x+2)gt1/(x+1)

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  19. Solve the following inequalities : (x-1)/(x^2-4x+3)lt1

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  20. Solve the following inequalities : (x^2-2x-1)/(x+1)ltx

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