SOLUTION: solve for x:
x^2-6x+4=0
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Question 603119: solve for x:
x^2-6x+4=0
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
You can solve by "completing the square" or you can apply the quadratic formula.
COMPLETING THE SQUARE:
-->
At this point you would recognize that the left hand side of the equation resembles the square
So, you add 9 to both sides of to get the equivalent equation with the complete square on the left hand side:
--> --->
At this point, you know that either
or
Adding 3 to both sides of the two equations above, you get the two solutions
and ,
which can be summarized as
THE QUADRATIC FORMULA
All quadratic equations are of the form
where a, b, and c are the coefficients which could be any number, with the only restriction that a cannot be zero.
The solution is given by the quadratic formula:
In the equation ,
a=1, b=-6 and c=4, so the quadratic formula gives us
That can be simplified like this
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