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Factor the expression $x^2+3x+9$

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Solution

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Final answer to the problem

$\left(x+\frac{3}{2}\right)^2+\frac{27}{4}$
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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 x^2+3x+9. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Calculate the power \left(\frac{3}{2}\right)^2. Multiply the fraction and term in - \frac{9}{4}. Simplify the addition \left(x+\frac{3}{2}\right)^2+9-\frac{9}{4}.

Final answer to the problem

$\left(x+\frac{3}{2}\right)^2+\frac{27}{4}$

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Plotting: $\left(x+\frac{3}{2}\right)^2+\frac{27}{4}$

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◻/◻
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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

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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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