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How many roots does a quadratic equation in one variable have?
A quadratic equation has two roots. They may be similar or dissimilar. As the highest power of a quadratic equation is 2 , there are 2 roots. Similarly, in the cubic equation, the highest power is 3, so it has three equal or unequal roots. So the highest power of an equation is the answer to the no of roots of that particular equation.
Can bisection method give us two answers for different intervals for same equation i have equation 2x3 plus x2-20x plus 12 equals 0. i have to find real root upto 3 correct decimal places. I chose int?
Yes. A cubic equation can have 3 real roots. Depending on their size, each of three intervals could contain a root. In that case different intervals must give different roots.Yes. A cubic equation can have 3 real roots. Depending on their size, each of three intervals could contain a root. In that case different intervals must give different roots.Yes. A cubic equation can have 3 real roots. Depending on their size, each of three intervals could contain a root. In that case different intervals must give different roots.Yes. A cubic equation can have 3 real roots. Depending on their size, each of three intervals could contain a root. In that case different intervals must give different roots.
If the discriminant is negative the equation has?
No real roots but the roots are a pair of complex conjugates.
Why do you use square roots to solve quadratic equations?
Because it's part of the quadratic equation formula in finding the roots of a quadratic equation.
How do you find a cubic equation with integral coefficients that has the roots -3 and 5 minus i?
If the equation has real coefficients, and 5 - i is a root, then its conjugate, 5 + i must be a root.Since 5 - i and 5 + i are roots, then (x - 5 + i) and (x - 5 - i) are factors.That means x2 - 10x + 26 is a factor.The other root is x = -3 so x + 3 is the other factor.So the cubic is (x + 3)*(x2 - 10x + 26) = 0That is x3 - 7x2 - 4x + 78 = 0
