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Step-by-step Solution

Solve the inequality x^2-5x+6%0

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Answer

$2\geq x\geq 3$

Step-by-step explanation

Problem to solve:

$x^2-5x+6\geq 0$
1

To find the roots of a polynomial of the form $ax^2+bx+c$ we use the quadratic formula, where $a=1$, $b=-5$ and $c=6$

$x =\frac{-b\pm\sqrt{b^2-4ac}}{2a}$
2

Substituting the values of the coefficients of the equation in the quadratic formula

$x=\frac{5\pm 1}{2}$

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Answer

$2\geq x\geq 3$
$x^2-5x+6\geq 0$

Main topic:

Quadratic formula

Time to solve it:

~ 0.64 seconds