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Determine the nature of the roots of the...

Determine the nature of the roots of the equation `2x^(2) + x - 1 = 0`

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FULL MARKS-ALGEBRA-Additional Questions Solved
  1. Solve sqrt(x +5) = 2x +3 using formula method.

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  2. The sum of a number and its reciprocal is (37)/(6). Find the number.

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  3. Determine the nature of the roots of the equation 2x^(2) + x - 1 = 0

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  4. Find the value of k for which the given equation 9x^(2) + 3kx + 4 = 0 ...

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  5. If one root of the equation 3x^(2)-10x+3=0" is "(1)/(3) then the other...

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  6. Form the quadratic equation whose roots are 3 + sqrt7, 3- sqrt7

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  7. If alpha and beta are the roots of the equation 3x^(2) - 5x + 2 = 0, t...

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  8. Detemine the matrix A = (a(ij))(3 xx 2) if a(ij) = 3i - 2j

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  9. If A= [(1,0,3),(4,5,2)] and B = [(-1,2,5),(7,3,1)] find B - A

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  10. Find x if [(2,x,3)] [(0),(x),(-1)]= 13

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  11. If A= [(1,0),(3,-1),(2,4)] and B= [(3,1,-2),(4,6,0)] find BA

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  12. Find the unknowns a, b, c, d in the given matrix equation. [(d+1,10...

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  13. Prove that [(3,5),(1,2)] and [(2,-5),(-1,3)] are multiplication is inv...

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  14. Solve x-(y)/(5) =6, y-(z)/(7)=8 , z-(x)/(2) = 10

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  15. Solve : 2(x+3)-10=6(32-3x)

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  16. Solve: 4x-7(2-x)=3x+2

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  17. Solve: (4t)/(t^2-25)=1/(5-t)

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  18. Find the G.C.D of x^(3) - 10x^(2) + 31x - 30 and 2x^(3) - 8x^(2) + 2x ...

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  19. The G.C.D of x^(4) + 3x^(3) + 5x^(2) + 26x + 56 and x^(4) + 2x^(3) - 4...

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  20. Find the values of "a" and "b" given that p(x) = (x^2 + 3x+2) (x^2 - 4...

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