The equation y = 3x^2-9x+5 is that of a
parabola.
As
can be seen in the graph provided above, the parabola opens upwards and y is negative only for a
certain set of values of x.
To determine the values for which y =
3x^2-9x+5 is less than 0, determine the roots of the equation 3x^2-9x+5 = 0. The values of x
lying between the roots give a negative value for y =
3x^2-9x+5.
3x^2-9x+5 = 0
The roots of a
quadratic equation ax^2 + bx + c = 0 are given by the formula class="AM">
Here, a = 3,
b = -9 and c = 5, the of the equation are:
class="AM">
= class="AM">
= class="AM"> and class="AM">
The set of values of x
for which 3x^2-9x+5 < 0 is class="AM">
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