$2x^2-x+3$

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Final answer to the problem

$2\left(x-\frac{1}{4}\right)^2+2\cdot \left(\frac{3}{2}-\frac{1}{16}\right)$
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Step-by-step Solution

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Apply the formula: $ax^2+bx+c$$=a\left(x^2+\frac{b}{a}x+\frac{c}{a}\right)$, where $a=2$, $b=-1$ and $c=3$

$2\left(x^2-\frac{1}{2}x+\frac{3}{2}\right)$

Learn how to solve factorisation polynomiale problems step by step online.

$2\left(x^2-\frac{1}{2}x+\frac{3}{2}\right)$

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Learn how to solve factorisation polynomiale problems step by step online. 2x^2-x+3. Apply the formula: ax^2+bx+c=a\left(x^2+\frac{b}{a}x+\frac{c}{a}\right), where a=2, b=-1 and c=3. Apply the formula: a\left(x^2+b+c\right)=a\left(x^2+b+c+\left(\frac{coef\left(b\right)}{2}\right)^2-\left(\frac{coef\left(b\right)}{2}\right)^2\right), where a=2, b=-\frac{1}{2}x and c=\frac{3}{2}. Apply the formula: a\left(x^2+b+c+f+g\right)=a\left(\left(x+\sqrt{f}sign\left(b\right)\right)^2+c+g\right), where a=2, b=-\frac{1}{2}x, c=\frac{3}{2}, x^2+b=x^2-\frac{1}{2}x+\frac{3}{2}+\frac{1}{16}-\frac{1}{16}, f=\frac{1}{16} and g=-\frac{1}{16}. Apply the formula: \frac{a}{b}c=\frac{ca}{b}, where a=1, b=4, c=-1, a/b=\frac{1}{4} and ca/b=- \frac{1}{4}.

Final answer to the problem

$2\left(x-\frac{1}{4}\right)^2+2\cdot \left(\frac{3}{2}-\frac{1}{16}\right)$

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Function Plot

Plotting: $2\left(x-\frac{1}{4}\right)^2+2\cdot \left(\frac{3}{2}-\frac{1}{16}\right)$

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5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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