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

Solve the equation with radicals $\sqrt{2y+1}+\sqrt{2y+3}=1$

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

The equation has no solutions.

Step-by-step Solution

Specify the solving method

1

We need to isolate the dependent variable $y$, we can do that by simultaneously subtracting $\sqrt{2y+3}$ from both sides of the equation

$\sqrt{2y+1}=1-\sqrt{2y+3}$

Learn how to solve integrals of rational functions problems step by step online.

$\sqrt{2y+1}=1-\sqrt{2y+3}$

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

Unlock the first 2 steps of this solution.

Learn how to solve integrals of rational functions problems step by step online. Solve the equation with radicals (2y+1)^1/2+(2y+3)^1/2=1. We need to isolate the dependent variable y, we can do that by simultaneously subtracting \sqrt{2y+3} from both sides of the equation. Removing the variable's exponent raising both sides of the equation to the power of 2. Expand \left(1-\sqrt{2y+3}\right)^{2}. Add the values 1 and 3.

Final Answer

The equation has no solutions.

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 factoringSolve by completing the squareSolve by quadratic formula (general formula)Find break even pointsFind the discriminant

Give us your feedback!

Function Plot

Plotting: $No solution$

Main Topic: Integrals of Rational Functions

Integrals of rational functions of the form R(x) = P(x)/Q(x).

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