👉 Try now NerdPal! Our new math app on iOS and Android

Solve the quadratic equation $y-\frac{3}{4}+\frac{-y^2}{4}=0$

Step-by-step Solution

Go!
Math 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

$y=1,\:y=3$
Got another answer? Verify it here!

Step-by-step Solution

Specify the solving method

1

Combine all terms into a single fraction with $4$ as common denominator

$\frac{4y-3-y^2}{4}=0$

Learn how to solve quadratic equations problems step by step online.

$\frac{4y-3-y^2}{4}=0$

Unlock unlimited step-by-step solutions and much more!

Unlock the first 2 steps of this solution.

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation y-3/4(-y^2)/4=0. Combine all terms into a single fraction with 4 as common denominator. Sort the polynomial 4y-3-y^2 in descending order to handle it more easily. Factor the trinomial by -1 for an easier handling. Factor the trinomial -\left(y^2-4y+3\right) finding two numbers that multiply to form 3 and added form -4.

Final Answer

$y=1,\:y=3$

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

Solve for yFind the rootsSolve by completing the squareSolve by quadratic formula (general formula)Find break even pointsFind the discriminant

Give us your feedback!

Function Plot

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

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:

Main Topic: Quadratic Equations

The quadratic equations (or second degree equations) are those equations where the greatest exponent to which the unknown is raised is the exponent 2.

Your Math & Physics Tutor. Powered by AI

Available 24/7, 365.

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

Includes multiple solving methods.

Support for more than 100 math topics.

Premium access on our iOS and Android apps as well.

20% discount on online tutoring.

Choose your Subscription plan:
Have a promo code?
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.
Create an Account