There is one more method for solving a quadratic equation. Say I have a quadratic function:

_{}

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You can use a process known as *completing the square*
to solve it. First you divide the whole equation through by the coefficient of
the _{} term
(the coefficient is the number in front of the _{}):

_{}

Then you move the constant (c) term over to the other side – the constant term is the one that doesn’t have any ‘x’s in it. Remember the sign change!

_{}

Then, whatever the number in front of the x term is (in this case 6), divide it by 2 (giving 3), then square it (giving 9). Whatever the number is, you always divide it by 2 than square it. Add this result to both sides of the equation:

_{}

Now factorise the left hand side using the method discussed previously (forget about the 17, just concentrate on the left hand side of the equation.

_{}

Take the square root of both sides, and remember to put
a plus or minus sign next to the _{} to represent both possible
solutions!

_{}

And there are your solutions for x which make the equation true.