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# Solve the equation with radicals $\sqrt{x}+\sqrt{x+7}=7$

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##  Final answer to the problem

$x=9$
Got another answer? Verify it here!

##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Solve for x
• Find the derivative using the definition
• Solve by quadratic formula (general formula)
• Simplify
• Find the integral
• Find the derivative
• Factor
• Factor by completing the square
• Find the roots
Can't find a method? Tell us so we can add it.
1

We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $\sqrt{x+7}$ from both sides of the equation

$\sqrt{x}=7-\sqrt{x+7}$

Learn how to solve problems step by step online.

$\sqrt{x}=7-\sqrt{x+7}$

Learn how to solve problems step by step online. Solve the equation with radicals x^1/2+(x+7)^1/2=7. We need to isolate the dependent variable x, we can do that by simultaneously subtracting \sqrt{x+7} from both sides of the equation. Removing the variable's exponent raising both sides of the equation to the power of 2. Expand \left(7-\sqrt{x+7}\right)^{2}. Add the values 49 and 7.

##  Final answer to the problem

$x=9$

##  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

SnapXam A2

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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