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Without calculating the roots of x^2-5x+...

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

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VGS PUBLICATION-BRILLIANT-QUADRATIC EQUATIONS-EXERCISE
  1. If the equation kx^(2) - 2kx + 6 = 0 has equal roots, then find the va...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Write the roots of quadratic equation ax^2+bx+c=0 when b^2-4ac>0.

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  15. Write the two roots of quadratic equation ax^2+bx+c=0 when b^2-4ac=0 i...

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  16. Find a quadratic polynomial with zeroes -2 and 1/3.

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  17. Find the roots of the equation 5x^2-7x-6=0 by the method of completing...

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  18. The quadratic polynomial, whose zeros are 2 and 3, is…..

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  19. Observe the given rectangular figure, then its area in polynomial func...

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  20. Which of the following is a quadratic equation?

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