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Short-answer type questions (S.A.) :
If one root of the quadratic equation `3x^(2)+sqrt2x+a=0" be "sqrt2`, then find the value of a.

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`sqrt2` is a root of the equation `3x^(2)+sqrt2x+a=0`.
`:.3(sqrt2)^(2)+sqrt2.sqrt2+a=0or,6+2+a=0or,a=-8`
`:.` The value of a=-8.
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CALCUTTA BOOK HOUSE-QUADRATIC EQUATION IN ONE VARIABLE-EXERCISE-1.5
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  2. If the roots of the quadratic equation x^(2)-m(2x-5)-6=0 are equal, th...

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  3. The roots of the equation x^(2)+x-6=0 are

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  4. If the roots of the equation 4x^(2)-5x+2=0" are "(alpha^(2))/(beta)and...

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  5. If the product of the roots of the quadratic equation x^(2)-5kx+3e^(lo...

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  7. If the roote of the quadratic equation x^(2)-p(x-3)-5=0 are equal then...

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  8. The product of the roots of the quadratic equation ax^(2)+cx+b=0 is .

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  9. The sum of the roots of the quadratic equation (2-sqrt3)x^(2)+x+1=0 is...

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  11. Find m, given that the difference of the roots of the equation 2x^2-12...

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  12. Find the quadartic equation whose sum of the roots is 2 and sum of the...

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  13. For what values of a, the roots of the quadratic equation x^(2)-(3a-1)...

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  14. Determine the nature of the roots of the qaudratic equation 3sqrt2x^(2...

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  15. If alphaandbeta be the roots of the quadratic equation 2x^(2)+2x-3=0, ...

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  16. If alphaandbeta be the roots of the quadratic equation 2x^(2)+2x-3=0, ...

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  19. If alphaand beta be the roots of the equation x^(2)+px+q=0, then find ...

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