3x² + 7x = 12
So you asked if that becomes: x² +
x = 4?
No because the first step is to divide through by the
coefficient of x², which is 3. And we divide all the terms,
on both sides by 3
x² +
x =
x² +
x = 4
So
has the wrong enominator.
But it seems a shame to stop here and not go on and
complete the square. Let's do it just for fun:
(You can print it for future use, because you're
going to have to learn how to do that soon.
multiply
times
, get
Square
. get
Add that to BOTH sides of the equation, to keep
it balanced.
So now we have:
x² +
x+
= 4+
That factors as:
(x +
)² =
Now we use the principle of square roots:
x +
=
x +
=
x =
x =
Edwin