By definition, the zeros of the quadratic function f(x) = x² - 2x - 2 are 2.732 and -0.732.
<h3>Zeros of a function</h3>
The points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.
That is, the zeros represent the roots of the polynomial equation that is obtained by making f(x)=0.
In summary, the roots or zeros of the quadratic function are those values of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.
In a quadratic function that has the form:
f(x)= ax² + bx + c
the zeros or roots are calculated by:
<h3>This case</h3>
The quadratic function is f(x) = x² - 2x - 2
Being:
the zeros or roots are calculated as:
<u><em>x1= 2.732</em></u>
and
<u><em>x2= -0.732</em></u>
Finally, the zeros of the quadratic function f(x) = x² - 2x - 2 are 2.732 and -0.732.
Learn more about the zeros of a quadratic function:
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