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# Solve the equation $\sqrt{x+5}-1=x-2$

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##  Final answer to the problem

$x=-1,\:x=4$
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.
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Move the term with the square root to the left side of the equation, and all other terms to the right side. Remember to change the signs of each term

$\sqrt{x+5}=x-2+1$

Learn how to solve one-variable linear equations problems step by step online.

$\sqrt{x+5}=x-2+1$

Learn how to solve one-variable linear equations problems step by step online. Solve the equation (x+5)^(1/2)-1=x-2. Move the term with the square root to the left side of the equation, and all other terms to the right side. Remember to change the signs of each term. Subtract -2 and 1. Removing the variable's exponent raising both sides of the equation to the power of 2. We need to isolate the dependent variable x, we can do that by simultaneously subtracting 5 from both sides of the equation.

##  Final answer to the problem

$x=-1,\:x=4$

##  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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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

###  Main Topic: One-variable linear equations

Algebraic equations that have just one variable.