Solution assignment 07 Quadratic inequalities

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Assignment 7

Solve:

x^2+x+25<0

Solution

First we solve the corresponding equation:

x^2+x+25=0

Because the discriminant:

D=1-100=-99<0

the equation has no solutions and thus the parabola has no intersection points with the X-axis. Because the parabola 'opens up' it lies above the X-axis and thus no values of x satisfy the inequality.

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