Solution assignment 03 Quadratic inequalities

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Assignment 3

Solve:

$x^2-x-56<0$

Solution

First we solve the corresponding equation:

$x^2-x-56=0$

which can be solved by factorizing:

$(x-8)(x+7)=0$

and thus the solutions are:

$x_1=8$ or $x_2=-7$

The graph of the function in the left-hand side of the inequality is an 'opens up' parabola and thus the following values of $x$ satisfy the inequality:

$-7<x<8$

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Solution assignment 03 Quadratic inequalities

Assignment 3

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