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3x^2 - x + 20 = 0 doesn't factor neatly. Using the quadratic formula, we find two complex roots with imaginary solutions.
(1 plus the square root of -239) divided by 6
(1 minus the square root of -239) divided by 6
x = 0.16666 repeating + 2.576604138956718i
x = 0.16666 repeating - 2.576604138956718i
where i is the square root of negative one.
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What is true about a quadratic equation when the discriminant of the equation is positive?
It will then have 2 different roots If the discriminant is zero than it will have have 2 equal roots
What are the roots of the quadratic equation below?
That depends on the equation.
How many real roots do we have if the polynomial equation is in degree six?
Such an equation has a total of six roots; the number of real roots must needs be even. Thus, depending on the specific equation, the number of real roots may be zero, two, four, or six.
What can the discriminant tell you about a quadratic equation?
It can tell you three things about the quadratic equation:- 1. That the equation has 2 equal roots when the discriminant is equal to zero. 2. That the equation has 2 distinctive roots when the discriminant is greater than zero. £. That the equation has no real roots when the discriminant is less than zero.
If the discriminant of an equation is zero What is true of the equation?
That its roots (solutions) are coincident.
