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Step-by-step Solution

Solve the inequality $x^2+7x>60$

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Answer

$-12>x>5$

Step-by-step explanation

Problem to solve:

$x^2+7x>60$
1

Rewrite the inequation

$x^2+7x-60>0$
2

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 $c=-60$

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

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Answer

$-12>x>5$
$x^2+7x>60$

Main topic:

Inequalities

Time to solve it:

~ 0.38 seconds