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To find the roots factor the function, set each facotor to zero, and solve. The solutions are the roots of the function. A root is a value for which the function equals zero. The roots are the points where the function intercept with the x-axis. Complex roots are the imaginary roots of a function.
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6 Φεβ 2016 · The roots of (x^3+3x+9) can be found through the quadratic equation: x= (-3+-sqrt (9-36))/2= (-3+-sqrt (-27))/2= (-3+-3isqrt3)/2.
Rewrite x^{3}-27 as x^{3}-3^{3}. The difference of cubes can be factored using the rule: a^{3}-b^{3}=\left(a-b\right)\left(a^{2}+ab+b^{2}\right). Polynomial x^{2}+3x+9 is not factored since it does not have any rational roots.
ax 2 +bx+c=0. The formula for the roots is $$ x_1, x_2 = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a} $$ Example 01: Solve the equation 2x 2 +3x-14. In this case we have a=2, b=3, c=-14, so the roots are:
