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The smallest value of a for which both t...

The smallest value of a for which both the roots of the equation `x^(2) - 10 ax + 25 (a^(2) - a + 1) = 0" "` are real, distinct and have value at least 5 is _______

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`2 . 00`
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MCGROW HILL PUBLICATION-QUADRATIC EQUATIONS-Solved Examples (Numerical Answer Type Questions)
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  3. Suppose, a, b, c lt 0 . If each pair of three quadratic equations. x...

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  4. Suppose alpha, beta are the roots of x^(2) - px + 2 . 89 = 0 and gamm...

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  5. Suppose a,b , c in R. If the equations ax^(2) + bx + c = 0 and 4x^(2) ...

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  6. Suppose f(x) = 2x^(2) - 7 x + 2029 is such that f decreases in the int...

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  7. Suppose 8,2 are roots of x^(2) + ax + beta = 0 and 3, 3 are roots of x...

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  8. Find the range of f(x)=(x^(2)+14x+9)/(x^(2)+2x+3), where x in R.

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  9. If alpha, beta are the roots of the equation 6x^(2) - 5x + 1 = 0 , th...

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  10. Suppose alpha , beta are roots of x^(2) - 2x + 4 = 0 If alpha^(4) + ...

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  11. Roots of equation x^5-5x^4+9x^3-9x^2+5x-1=0 are

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  12. Suppose alpha and beta are the roots of x^(2) + 7x + 3 = 0 . suppose ...

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  13. Let S = { x in R : sqrt(x + 2) - sqrt(x - 2) = sqrt(4x - 2)} If alpha...

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  14. Let S = {x in R : 5^(2 x+1) + 20 x^(2) + 29x + 6 = (11) (5^(x)) + (x)...

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  15. Let alpha and beta are roots x^(2) - 7 . 32 x - 3 =0 and let A(n) = ...

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  16. The sum of two numbers is 22 and product is 120. The numbers are:

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  17. If a, b and c are three distinct real numbers, and ((x - b) (x - c...

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  18. The smallest value of a for which both the roots of the equation x^(2)...

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