$y=\frac{1}{4x^2-3x+9}$

Step-by-step Solution

Go!
Symbolic mode
Text mode
Go!
1
2
3
4
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

Final answer to the problem

$y=\frac{1}{4\left(\left(x-\frac{3}{8}\right)^2+\frac{9}{4}-\frac{9}{64}\right)}$
Got another answer? Verify it here!

Step-by-step Solution

How should I solve this problem?

  • Scegliere un'opzione
  • Differential
  • Semplificare
  • Fattore
  • Load more...
Can't find a method? Tell us so we can add it.
1

Apply the formula: $ax^2+bx+c$$=a\left(x^2+\frac{b}{a}x+\frac{c}{a}\right)$, where $a=4$, $b=-3$ and $c=9$

$y=\frac{1}{4\left(x^2-\frac{3}{4}x+\frac{9}{4}\right)}$

Learn how to solve equazioni razionali problems step by step online.

$y=\frac{1}{4\left(x^2-\frac{3}{4}x+\frac{9}{4}\right)}$

With a free account, access a part of this solution

Unlock the first 3 steps of this solution

Learn how to solve equazioni razionali problems step by step online. y=1/(4x^2-3x+9). Apply the formula: ax^2+bx+c=a\left(x^2+\frac{b}{a}x+\frac{c}{a}\right), where a=4, b=-3 and c=9. 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=4, b=-\frac{3}{4}x and c=\frac{9}{4}. 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=4, b=-\frac{3}{4}x, c=\frac{9}{4}, x^2+b=x^2-\frac{3}{4}x+\frac{9}{4}+\frac{9}{64}-\frac{9}{64}, f=\frac{9}{64} and g=-\frac{9}{64}. Apply the formula: \frac{a}{b}c=\frac{ca}{b}, where a=3, b=8, c=-1, a/b=\frac{3}{8} and ca/b=- \frac{3}{8}.

Final answer to the problem

$y=\frac{1}{4\left(\left(x-\frac{3}{8}\right)^2+\frac{9}{4}-\frac{9}{64}\right)}$

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Help us improve with your feedback!

Function Plot

Plotting: $y+\frac{-1}{4x^2-3x+9}$

SnapXam A2
Answer Assistant

beta
Got a different answer? Verify it!

Go!
1
2
3
4
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

How to improve your answer:

Your Personal Math Tutor. Powered by AI

Available 24/7, 365.

Complete step-by-step math solutions. No ads.

Includes multiple solving methods.

Download complete solutions and keep them forever.

Premium access on our iOS and Android apps.

Join 500k+ students in problem solving.

Choose your plan. Cancel Anytime.
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.

Create an Account