Identify the type of the equation (x+1)2.a)Linear equationb)Cubic equa...
The equation (x + 1)^2 is an example of a quadratic equation.
A quadratic equation is a polynomial equation of degree 2, meaning the highest power of the variable (in this case, x) is 2. It can be written in the general form ax^2 + bx + c = 0, where a, b, and c are constants.
In this equation, (x + 1)^2, the variable x is raised to the power of 2, which means it is a quadratic equation.
Explanation:
Quadratic equations are characterized by having a squared term (x^2) and a linear term (x) in their expression. The term inside the parentheses, (x + 1), represents the linear term in this equation.
When we expand the expression (x + 1)^2, we get x^2 + 2x + 1. This is a quadratic equation in standard form.
The equation can also be written as x^2 + 2x + 1 = 0, by subtracting 1 from both sides of the equation.
Conclusion:
So, the equation (x + 1)^2 is a quadratic equation. It is important to recognize the form and degree of an equation to determine its type accurately.
Identify the type of the equation (x+1)2.a)Linear equationb)Cubic equa...
As it represents the identity (b+a)2 it satisfies the identity (b+a)2 = (a2 + b2 +2ab) and is not linear, cubic or an imaginary equation so the correct option is Identity Equation.