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Factor the expression $5x^2-8x+6$

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Solution

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Final answer to the problem

$5\left(x-\frac{4}{5}\right)^2+\frac{14}{5}$
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Step-by-step Solution

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Learn how to solve completing the square problems step by step online. Factor the expression 5x^2-8x+6. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (5) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-\frac{8}{5}x+\frac{16}{25}. Multiply the fraction and term in - \frac{4}{5}.

Final answer to the problem

$5\left(x-\frac{4}{5}\right)^2+\frac{14}{5}$

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Function Plot

Plotting: $5\left(x-\frac{4}{5}\right)^2+\frac{14}{5}$

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a
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m
n
u
v
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x
y
z
.
(◻)
+
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×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
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

How to improve your answer:

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Main Topic: Completing the Square

In elementary algebra, completing the square is a technique for converting a quadratic polynomial of the form ax^2+bx+c to the form a(x+h)^2+k.

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