A quadratic. For example,
x^2 + 3x - 7xy - 12y - 25 = 0
The quadratic formula can be used to solve an equation only if the highest degree in the equation is 2.
A quadratic equation is of degree 2, that is, the highest power is 2. A polynomial is not an equation, however, you can convert it into an equation by setting the polynomial equal to zero for example. A polynomial EQUATION can be of any degree: 1, 2, 3, 4, etc.
A non-linear equation is any equation which includes variables with a degree other than one. Therefore, any equation involving x2, x3, x4, .... would be non-linear. For example: y= 3x+2 is linear, because x and y are both degree 1 (no exponent) y= 2x2 is non-linear, because x is degree 2.
2
True Yes. Although the term 'quad' stands for four, a quadratic equation is a polynomial of second degree.
The quadratic formula can be used to solve an equation only if the highest degree in the equation is 2.
An equation with a degree of 2 is called a quadratic equation. At least one term in the equation will have a variable raised to the second power, e.g. x²
A quadratic equation is of degree 2, that is, the highest power is 2. A polynomial is not an equation, however, you can convert it into an equation by setting the polynomial equal to zero for example. A polynomial EQUATION can be of any degree: 1, 2, 3, 4, etc.
2.
An equation of the second degree, meaning it contains at least one term that is squared.
A non-linear equation is any equation which includes variables with a degree other than one. Therefore, any equation involving x2, x3, x4, .... would be non-linear. For example: y= 3x+2 is linear, because x and y are both degree 1 (no exponent) y= 2x2 is non-linear, because x is degree 2.
If the highest degree of an equation is 3, then the equation must have 3 solutions. Solutions can be: 1) 3 real solutions 2) one real and two imaginary solutions.
2
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.
Yes, since y = x - 2 has the degree of 1 [or the highest exponent of the equation], x - 2 is the linear equation.
a linear equation
The highest power in the equation.