ax2 + bx + c = y
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No.
There are an infinite number of different quadratic equations. The quadratic formula is a single formula that can be used to find the pair of solutions to every quadratic equation.
Well, if the given quadratic equation cannot be factored, nor completed by the square, try using the quadratic formula.
Quadratic formula. It's easier to remember and you have to do less work.
For any quadratic ax2 + bx + c = 0 we can find x by using the quadratic formulae: the quadratic formula is... [-b +- sqrt(b2 - 4(a)(c)) ] / 2a