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No, it is not.
the equation 6x^2 - 4x + 25 is a quadratic equation due to the 6x^2 term. Whatever number on the x squared term changes it to a quadratic equation if you were to get rid of the 6x^2 then the equation would simply be -4x+25 making it simply a linear equation. when ever you have an x raised to 2 that term is the quadratic term in the equation.
In mathematics the term quadratic describes something that pertains to squares. (quadratus is Latin for square)
This is called an incomplete quadratic equation because there is no linear term. aX2 +( bX)+ c = 0 The middle term is not there, but this is quite solvable.
Quadratic form is a shorthand term generally used to say to put an equation in the form ax2 + bx + c .