A quadratic equation is written in the form of ax²+bx+c. The roots of the given quadratic equation are shown in options B and F.
What is a quadratic equation?
A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
The roots of a quadratic equation can be found using the formula,
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
Given the quadratic equation 3x²-x+5 = 0. Comparing it with the general quadratic equation the value of a, b, and c will be 3, -1, and 5.
Now, if we substitute the values in the formula of the roots of the quadratic equation,
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4(3)(5)}}{2(3)}\\\\[/tex]
x = (1±√-59)/6
x = (1+√-59)/6, (1-√-59)/6
Hence, the roots of the given quadratic equation are shown in options B and F.
Learn more about Quadratic Equations here:
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