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Nature of Roots

Solve: x2-50...

Question

Solve:
$x^{2} - 50 x + 600 = 0$

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Solution

$x^{2} - 50 x + 600 = 0 x^{2} - 20 x - 30 x + 600 = 0 x (x - 20) - 30 (x - 20) = 0 (x - 20) (x - 30) = 0 x = 20, 30$

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Q. In the given equation

x^{2} - 50 x + 600 = 0

Find out the values of

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Q. Find the roots of the cubic equation

2 x^{3} - x^{2} - 50 x + 25 = 0

Q. Solve the following linear programming problem graphically:
Minimise Z = 50x + 25y
subject to the constraints:
x + 2y ≥ 10
3x + 4y ≤ 24
x ≥ 0, y ≥ 0

50 x + 24 y = 1000

x + y = 100

Q. Solve the following linear programming problem graphically:
Minimise Z = 50x + 25y
subject to the constraints:
x + 2y ≥ 10
3x + 4y ≤ 24
x ≥ 0, y ≥ 0

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