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

Step-by-step Solution

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Final answer to the problem

$x=9$
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Step-by-step Solution

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  • Solve for x
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
  • Simplify
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  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
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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

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

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

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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

$x=9$

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Function Plot

Plotting: $\sqrt{x}+\sqrt{x+7}-7$

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Answer Assistant

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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

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