If the degree of the equation is two, then the result leads to the quadratic equation. The following equations are entitled to the quadratic equations.
- \(\rm y = 2x^{2}\)
- \(\rm y= 2x^{2} -8\)
- \(y = 2x^{2} -3x -8\\\)
What is a quadratic equation?
In the quadratic equation, the maximum power of the variable is 2. It consists of x², x, and the constant term.
Given
\(\rm 1.\ y =2 x^{2} \\2.\ y = 2x^{2} -8\\3.\ y = -2+2x-8\\4.\ y +3x = 2x^{2} -8\\5.\ y + 3x^{2} = 2x +3x^{2} -8\)
If the power of x is 2, then it is said to be a quadratic equation.
1.
\(\rm y = 2x^{2}\)
The above expression is a quadratic equation.
2.
\(\rm y= 2x^{2} -8\)
The above expression is a quadratic equation.
3.
\(\rm y = 2x-10\)
The above expression is not a quadratic equation.
4.
\(\begin{aligned} \rm y +3x &= 2x^{2} -8\\\rm y &= 2x^{2} -3x -8\\\end{aligned}\)
The above expression is a quadratic equation.
5.
\(\begin{aligned} \rm y + 3x^{2} &= 2x +3x^{2} -8\\\rm y &= 2x-8\\\end{aligned}\)
The above expression is not a quadratic equation.
Thus, the third and fifth are not quadratic equations and the first, second, and fourth are quadratic equations.
More about the Quadratic equation link is given below.
https://brainly.com/question/17177510