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Two students A and B solve an equation o...

Two students A and B solve an equation of
the form `x^(2)+px +q=0` . A starts with a
wrong value of p and obtains the roots as
2 and 6. B starts with a wrong value of q
and gets the roots as 2 and -9. What are the
correct roots of the equation ?

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Two condidates attempt to solve a quadratic equation of the form x^(2)+px+q=0 . One starts with a wrong value of p and finds the roots to be 2 and 6. The other starts with a wrong value of q and finds the roots to be 2 and -9 . Find the correct roots and the equation.

A and B solve an equation x^(2)+px+q=0. Insolving A commits a mistake in reading p and finds the roots 2 and 6 and B commits a mistake in reading q and finds the roots 2 and -9. Find the correct roots.

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QUANTUM CAT-THEORY OF EQUATIONS-QUESTION BANK
  1. If alpha and beta are the roots of the equation ax^(2)+bx+c=0, find th...

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  2. If alpha, beta are the roots of the equation 2x^(2)-3x+2=0, form the e...

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  3. Two students A and B solve an equation of the form x^(2)+px +q=0 . ...

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  4. If the two roots of a quadratic equation are (-3)/2 and (-5)/3 which ...

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  5. If the two roots of any quadratic equation are sqrt3 and sqrt3, how ma...

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  6. If the two factors of any quadratic equation are (x+sqrt3) and (x-sqr...

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  7. If a quadratic equation is multiplied by 4, the roots of the new equat...

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  8. If one root is 3-sqrt5 and the other root is 3+sqrt5, find the possibl...

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  9. Roots are real only when D is non-negative.

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  10. Roots are complex (or imaginary) when D is negative.

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  11. Roots are rational only when D is a perfect square number like 0,1,4,9...

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  12. Roots are equal only when D =0.

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  13. The equal roots are called Double Root.

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  14. When the roots are irrational they are in conjugate pairs as if one ro...

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  15. When the roots are complex they are in conjugate pairs as if one root ...

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  16. If Dgt0,a=1,b,cinZ (integer numbers) and roots are rational,prove tha...

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  17. If a quadratic equation has one real root and a,b,cinR. other root is ...

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  18. If the roots are real and equal, the graph will touch the x-axis.

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  19. If the roots are real and unequal, the graph will intercept the X-axis...

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  20. If the roots are non-real, the. graph does not touch the X-axis.

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