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# Solve the equation with radicals $2x^{-2}-7x^{-1}-15=0$

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##  Final answer to the problem

$x=0,\:x=-\frac{2}{3},\:x=\frac{1}{5}$
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##  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 $-7x^{-1}-15$ from both sides of the equation

$2x^{-2}=-\left(-7x^{-1}-15\right)$

Learn how to solve radical equations and functions problems step by step online.

$2x^{-2}=-\left(-7x^{-1}-15\right)$

Learn how to solve radical equations and functions problems step by step online. Solve the equation with radicals 2x^(-2)-7x^(-1)+-15=0. We need to isolate the dependent variable x, we can do that by simultaneously subtracting -7x^{-1}-15 from both sides of the equation. Simplify the product -(-7x^{-1}-15). Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Combine all terms into a single fraction with x as common denominator.

##  Final answer to the problem

$x=0,\:x=-\frac{2}{3},\:x=\frac{1}{5}$

##  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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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

###  Main Topic: Radical Equations and Functions

Equations that have variables inside a radical.