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If a 0 then the equation is linear not quadratic as there is no ax term.
Square with x math. Completing the square is a method used to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial. If a the leading coefficient the coefficient of the x 2 term is not equal to 1 divide both sides by a. That is the square function satisfies the identity x 2 x 2. We could say that x plus 5 is equal to 10 or x plus 5 is equal to negative 10.
A x 2 ax2 which contains the square of x x but then you have other things aside the square. So that must be equal to the plus or minus square root of 100 or plus or minus 10. One of the important properties of squaring for numbers as well as in many other mathematical systems is that for all numbers x the square of x is the same as the square of its additive inverse x. It has positive 10 and it has negative 10.
Mathematically it is always possible to put a quadratic expression of the form ax 2 bx c ax2 bx c as the square of something but potentially we would need to add a constant. To solve a x 2 b x c 0 by completing the square. So we could say that x plus 5 the something that we were squaring that must be one of the square roots of 100.
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