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Find the discriminant of the quadratic e...

Find the discriminant of the quadratic equation `3x^2 - 5x + 2 = 0` and hence write the nature of its roots.

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VGS PUBLICATION-BRILLIANT-QUADRATIC EQUATIONS-EXERCISE
  1. Find the roots of the Quadratic equation x^2+2x-3=0.

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

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

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

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

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

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

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

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

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

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  11. Find the roots of quadratic equation x^2 + 4x + 3 = 0 by "Completing S...

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  12. Shashanka said that (x + 1)^2 = 2(x - 3) is a quadratic equation. Do y...

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  13. Sum of the squares of two consecutive positive even integers is 100 , ...

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  14. The perimeter of a right- angled triangle is 60 cm. and its hypotenuse...

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  15. If - 4 is common root for the quadratic equations 2x^(2) + px + 8 = 0 ...

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  16. Sum of squares of two consecutive even numbers is 580. Find the number...

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  17. Sum of the areas of two squares is 850m^2. If the difference if their ...

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  18. Sum of the present ages of two friends are 23 years, five years ago pr...

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  19. If a number when increased by 12, equals 160 times of its reciprocal, ...

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  20. A train travels 360 km at a uniform speed. If the speed had been 5 km/...

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