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MathML Plugin example

Following code :

Suppose {{{`ax^2+bx+c=0`

and `a!=0`. We first divide by `a` to get {{{`x^2+b/ax+c/a=0`.

Then we complete the square and obtain `x^2+b/ax+(b/(2a))^2-(b/(2a))^2+c/a=0`. The first three terms factor to give `(x+b/(2a))^2=(b^2)/(4a^2)-c/a`. Now we take square roots on both sides and get `x+b/(2a)=+-sqrt((b^2)/(4a^2)-c/a)`.

Finally we move the `b/(2a)` to the right and simplify to get the two solutions: `x_(1,2)=(-b+-sqrt(b^2-4ac))/(2a)` }}} give :

Suppose `ax^2+bx+c=0` and `a!=0`. We first divide by `a` to get `x^2+b/ax+c/a=0`.

Then we complete the square and obtain `x^2+b/ax+(b/(2a))^2-(b/(2a))^2+c/a=0`. The first three terms factor to give `(x+b/(2a))^2=(b^2)/(4a^2)-c/a`. Now we take square roots on both sides and get `x+b/(2a)=+-sqrt((b^2)/(4a^2)-c/a)`.

Finally we move the `b/(2a)` to the right and simplify to get the two solutions: `x_(1,2)=(-b+-sqrt(b^2-4ac))/(2a)`


2022-09-08 09:27