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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 else can I help you with?
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
Solve the equation X2 X1980?
it is not an equation (there no equality in it!)
What is the math term VEST?
variable equation solve it test it
How do you solve word problems using variables?
Use a variable to represent the unknown. 'Translate' the words to math symbols and write an equation to solve. Solve the equation. Check.
How do you solve 0.35 x 2.5?
There is no equation to solve, only an expression.
What is a biquadratic eqution?
A biquadratic equation is a polynomial equation of the fourth degree, typically expressed in the form ( ax^4 + bx^2 + c = 0 ), where ( a ), ( b ), and ( c ) are constants and ( a \neq 0 ). This type of equation can also be viewed as a quadratic equation in terms of ( y = x^2 ), facilitating easier solutions. The roots of a biquadratic equation can be found by solving for ( y ) and then taking the square roots of the resulting values.
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
What is a biquadratic?
A biquadratic is a polynomial which involves only the second and fourth powers of a variable.
Can you solve for a variable in an equation?
Sure. You can always 'solve for' a variable, and if it happens to be the only variable in the equation, than that's how you solve the equation.
Do you answer an equation?
you don't answer an equation, you solve an equation
What is steiner patch?
it a biquadratic bezier patch.
What has the author Jean-Marc Deshouillers written?
Jean-Marc Deshouillers has written: 'On sums of sixteen biquadrates' -- subject(s): Biquadratic Equations, Equations, Biquadratic
What equation do you get when you solve 2x plus 3y 12 for y?
If you solve such an equation for "y", you get an equation in the slope-intercept form.
What are some ways to solve an equation?
solve it
Can you solve for a variable in an expression or equation?
you can only solve for one in an equation so it can equal something
How do you use division to solve a multiplication equation?
How do you use division to solve a multiplication equation?Answer this question…
Can you solve the equation 3q 11 8q99?
It is not an equation if it does not have an equals sign. You could simplify it but not solve it.
