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Zeroes of a Polynomial

Solve x2-5x...

Question

Solve $x^{2} - 5 x + 6 = 0$

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Solution

$x^{2} - 5 x + 6 = 0 x^{2} - 2 x - 3 x + 6 = 0 x (x - 2) - 3 (x - 2) = 0 (x - 2) (x - 3) = 0 x = 2, 3$

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\frac{1 + x^{2}}{x^{2} - 5 x + 6} < 0

x^{2} - 5 x + 6 \geq 0

x^{2} + 5 x + 6 = 0

Q. Solve the equation:

x^{2} - 5 x + 6 \geq 0

.

x :

x^{2} - 5 x + 6 = 0

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