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Using the quadratic formula
x = [-b (+ or -)root(b^2 - 4ac)]/2a, from
y = ax^2 + bx + c
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What is a biquadratic?
A biquadratic is a polynomial which involves only the second and fourth powers of a variable.
How do you find roots of z5 using demorves theorem?
z5 is an expression, not an equation and so cannot have roots.
Why do mathmaticians use the quadratic formula?
To find the roots (solutions) of a quadratic equation.
The solutions of an equation are often called what?
The roots of the equation
What are quadratic equations with real roots?
If the discriminant of the quadratic equation is zero then it will have 2 equal roots. If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots. If the discriminant of the quadratic equation is less than zero then it will have no roots.
What is quartic and biquadratic?
A quartic is a polynomial of degree 4, meaning the highest exponent is 4. Biquadratic can mean the same thing, but most mathematicians use the term biquadratic to refer to an equation of degree 4 with no odd powers. So for example we cannot have an x3 term. An example of a biquadratic is: x4 +x2 + 22=0
How do you solve a biquadratic equation?
Equations of the form z^4+az^2+a_0 are known as biquadratic equations. They are quartic equations. In general they can be solved by reducing them to a quadratic equation where x=z^2 is the variable. Then you can use the quadratic formula or factor. So plugging in x to the biquadratic giives us x^2+ax+a_0.
What is a biquadratic?
A biquadratic is a polynomial which involves only the second and fourth powers of a variable.
Write an algorithm to find the root of quadratic equation?
Write an algorithm to find the root of quadratic equation
How do you find the roots of an equation?
for an 2nd order the roots are : [-b+-sqrt(b^2-4ac)]/2a
How do you find roots of z5 using demorves theorem?
z5 is an expression, not an equation and so cannot have roots.
How do you find the roots of a polynomiyal?
In numerical analysis finding the roots of an equation requires taking an equation set to 0 and using iteration techniques to get a value for x that solves the equation. The best method to find roots of polynomials is the Newton-Raphson method, please look at the related question for how it works.
How do you find the sum of the roots of the equation x2 plus 5x plus 9 equals 0?
This quadratic equation has no real roots because its discriminant is less than zero.
Why do mathmaticians use the quadratic formula?
To find the roots (solutions) of a quadratic equation.
What is the formula to find the product of the roots of a quadratic equation?
If the quadratic is ax2 + bx + c = 0 then the product of the roots is c/a.
When do you use the quadratic formula?
When you need to find the roots of a quadratic equation and factorisation does not work (or you cannot find the factors). The quadratic equation ALWAYS works. And when appropriate, it will give the imaginary roots which, judging by this question, you may not yet be ready for.
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.
