2.
The quadratic formula can be used to solve an equation only if the highest degree in the equation is 2.
The highest power in the equation.
A degree of a differential equation is the highest power of highest order of a differential term of the equation. For example, 5(d^4 x/dx^4) - (dx/dx)^2 =7 Here 5(d^4x/dx^2) has the highest order and so the degree will be it's power which is 1.
You find out if a problem is linear or exponential by looking at the degree or the highest power; if the degree or the highest power is 1 or 0, the equation is linear. But if the degree is higher than 1 or lower than 0, the equation is exponential.
The smallest quantity in an equation is likely to be the coefficient of the variable with the highest degree. This is because the variable with the highest degree will have the most significant impact on the value of the overall expression.
Two.
An example of an equation with a degree of 2 is (y = 3x^2 + 2x + 1). This is a quadratic equation because the highest power of (x) is 2.
Equations can be classified according to the highest power of the variable. Since the highest power of the variable in a linear equation is one, it is also called a first-order equation.
2
For the equation: x5+7x3-30x=0 The highest exponent in the entire equation is 5 (from x5), so the equation is of degree 5.
"Degree one" means that the highest exponent is one. Similarly, "degree two" means that the highest exponent is two, etc. The number of exponents is not limited - the exponents may be used for different variables, for example. The degree simply specifies the highest exponent that can be used.
It is a linear equation. The highest power of x in the equation is 1 (3x1-4=12) so its "degree" is 1, and equations of "degree 1" are called linear equations.