Which of the following is an example of a quadratic equation?
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Answer: OPTION C.
Step-by-step explanation:
The standard form of a Quadratic equation is:
[tex]ax^2 + bx + c = 0[/tex]
Where "a", "b", and "c" are numerical coefficients ([tex]a\neq 0[/tex])
The term [tex]ax^2[/tex] is the Quadratic term,.
The term [tex]bx[/tex] is the Linear term.
The term [tex]c[/tex] is the Constant term.
A Quadratic equation whose Linear term is not present, is called a "Pure quadratic equation", and can have the following form:
[tex]ax^2+c=0[/tex]
Based on this, we can determine that the equation shown in Option C is a Pure quadratic equation, because it has a Quadratic term and a Constant term:
[tex]x^2=125[/tex]
It can be written as:
[tex]x^2-125=0[/tex]
Answer: X² = 125
Step-by-step explanation: The equation X² = 125 is called a quadratic equation because we have a squared term as our highest power.