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If b^(2) - 4ac gt 0 "in" ax^(2) + bx + c...

`If b^(2) - 4ac gt 0 "in" ax^(2) + bx + c = 0,` then what can you say about roots of the equation ? `(a ne 0)`

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VGS PUBLICATION-BRILLIANT-QUADRATIC EQUATIONS-EXERCISE
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  2. Verify that 1 and 3/2 are the roots of the equation 2x^(2) - 5x + 3 = ...

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  3. If b^(2) - 4ac gt 0 "in" ax^(2) + bx + c = 0, then what can you say a...

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  4. Find the value of k, if 2 is one of the roots of the quadratic equatio...

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  5. In a rectangle ABCD, AB = x + y, BC = x - y, CD = 9 and AD = 3. Find t...

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  6. Write the nature of roots of the quadratic equation 2x^(2) - 5x + 6 = ...

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  7. Write the nature of the roots of the quadratic equationx^(2) - 8x + 16...

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  8. Find sum and product of roots of the Quadratic equation x^(2) 4 sqrt...

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  9. Find the roots of the Quadratic equation x^2+2x-3=0.

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  10. Find the values of k for which the quadratic equation 4x^2+5kx+25=0 ha...

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  11. Find the discriminant of the quadratic equation 3x^2 - 5x + 2 = 0 and ...

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  12. If 9x^(2) + kx + 1 = 0 has equal roots, find the value of k.

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  13. If the measure of angles of a triangle are x^(@), y^(@) and 40^(@) and...

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  14. The sum of a number and its reciprocal is 10/3 Find the number.

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  15. Is it possible to design a rectangular genden, whose length is twice o...

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  16. If the equation kx^(2) - 2kx + 6 = 0 has equal roots, then find the va...

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  17. A quadratic equation, whose roots are 2 + sqrt 3 and 2 - sqrt 3 =

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  18. Without calculating the roots of x^2-5x+6=0, explain the nature of roo...

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