You will need

- - notebook;
- - handle

Instruction

1

Determine what species the power-law equation. It can be square or biquadratic, as well as the equation with odd degree. Pay attention to the highest degree. If it is the second - equation of a square, if the first - line. If the highest degree

**of the equation**is fourth, and is the coefficient and variable to the second power, the equation is biquadratic.2

Pay attention to the structure

**of the equation**. If there are two summands, which are variable in any of the degrees and the coefficient the equation is solved simply: move a variable in one part**of the equation**, and the numerical value to another. Extract the root of the extent of the number which is variable. If the degree is odd, we can immediately write down the answer, if is even, then the equation has two solutions - counted number, and it is the same, only with opposite sign.3

Keep in mind that a quadratic equation has the form: a*x^2+b*x+c=0. Calculate the discriminant of the

**equation**, applying the formula: D=b*b-4*a*c. Note the resulting in response to sign. If the discriminant is less than zero, the equation has no solutions. If the discriminant is equal to zero or greater than zero, consider the roots**of the equation**by the known formula: x= (-b-sqrt(D))/(2*a).4

To solve biquadratic equation of the form: a*x^4+b*x^2+c=0 use the substitution x^2= y and solve a biquadratic equation as and square. As a result, in this case, there will be two y, go back to x^2. That is, is formed of two

**equations**of the form x^2=a. To solve this equation, use the above instructions.5

If in

**the equation**x has an odd degree, try to lead them to**the equations of**m have even degree. To do this, divide equation variable on one or several times. If it does not contain coefficients that include the number of roots is 0.Note

The sign ^ in this context means the process of exponentiation and is facing a power indicator.

The * sign is equivalent to the sign to multiply, / to divide.

The * sign is equivalent to the sign to multiply, / to divide.