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Step-by-step Solution

Solve the inequality $x^2-7x+12\leq 0$

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Answer

$3\leq x\leq 4$

Step-by-step explanation

Problem to solve:

$x^2-7x+12\le\:0$
1

To find the roots of a polynomial of the form $ax^2+bx+c$ we use the quadratic formula, where $a=1$, $b=-7$ and $c=12$

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

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

$x=\frac{7\pm 1}{2}$

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Answer

$3\leq x\leq 4$
$x^2-7x+12\le\:0$

Main topic:

Inequalities

Time to solve it:

~ 0.36 seconds

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