SOLUTION: Someone please help me with that. Write the quadratic equation in the standard form. 6x^2-2x+9

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Question 949547: Someone please help me with that.
Write the quadratic equation in the standard form. 6x^2-2x+9
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
6x%5E2-2x%2B9 this is the quadratic expression

and the quadratic equation in the standard form is

f%28x%29=6x%5E2+-2x+%2B+9
f%28x%29=%286x%5E2+-2x%2B_%29-_+%2B+9+
+f%28x%29=6%28x%5E2+-%281%2F3%29x%2B_%29-_+%2B+9 ...we need to complete the square-recall %28a%2Bb%29%5E2=a%5E2%2B2ab%2Bb%5E2
so, use 2ab to find b- >
a=1 ->2%2A1%2Ab=1%2F3
=>2b=1%2F3=
>b=%281%2F3%29%2F2
=>b=1%2F6
add b and subtract b like this
f%28x%29=6%28x%5E2+-2x%2B%281%2F6%29%5E2%29-6%281%2F6%29%5E2%2B+9
f%28x%29=6%28x+-1%2F6%29%5E2-6%2A%281%2F36%29%2B9
f%28x%29=6%28x+-1%2F6%29%5E2-1%2F6%2B%289%2A6%29%2F6
f%28x%29=6%28x+-1%2F6%29%5E2-1%2F6%2B54%2F6
f%28x%29=6%28x-1%2F6%29%5E2%2B53%2F6