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Does there exist a quadratic equation wh...

Does there exist a quadratic equation whose coefficients are rational but both of its roots are irrational? Justify your answer.

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AGRAWAL PUBLICATION-QUADRATIC EQUATIONS-EXAMPLE
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  2. A quadratic equation with integral coefficient has integral roots. Jus...

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  3. Does there exist a quadratic equation whose coefficients are rational ...

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  4. Solve for x: (x+3)/(x+2) = (3x-7)/(2x-3), x != -2, 3/2

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  5. Find the roots of the quadratic equation sqrt2 x^2 + 7x + 5 sqrt2 =0

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  6. If b =0 and c<0, is it true that the roots of x^2+ bx +c =0 are nume...

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  7. Find the value of x^2 + k(2x + x +1) +2 =0 has real and equal roots.

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  8. If x = 2/3 and x= -3 are roots of the quadratic equation ax^2 + 7x +b ...

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  9. If a and b are the roots of the equation x^2 +ax - b =0 , then find a ...

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  10. Solve for x: sqrt(2x+9) + x = 13

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  11. Solve the following quadratic equation for x 4x^2 +4bx - (a^2- b^2) =...

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  12. Find the value of p, for which one root of the quadratic equation px^2...

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  13. Find the roots of the quadratic equation by using the quadratic formul...

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  14. Find the roots of the quadratic equation by using the quadratic formul...

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  15. Find the roots of the quadratic equation by using the quadratic formul...

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  16. Find the roots of the quadratic equation by using the quadratic formul...

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  17. Find the roots of the quadratic equation by using the quadratic formul...

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  18. Find the roots of the quadratic equation by using the quadratic formul...

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  19. Find the roots of the quadratic equation by using the quadratic formul...

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  20. Find the roots of the following quadratic equations by the factorisati...

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