ðŸ‘‰ Try now NerdPal! Our new math app on iOS and Android

# Solve the quadratic equation $2\left(x^2+9\right)-10=0$

Go!
Symbolic 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 to the problem

$x=2i,\:x=-2i$
Got another answer? Verify it here!

##  Step-by-step Solution 

How should I solve this problem?

• Solve by factoring
• 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 $-10$ from both sides of the equation

$2\left(x^2+9\right)=10$

Learn how to solve quadratic equations problems step by step online.

$2\left(x^2+9\right)=10$

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 2(x^2+9)-10=0. We need to isolate the dependent variable x, we can do that by simultaneously subtracting -10 from both sides of the equation. Divide both sides of the equation by 2. Take \frac{2}{2} out of the fraction. We need to isolate the dependent variable x, we can do that by simultaneously subtracting 9 from both sides of the equation.

##  Final answer to the problem

$x=2i,\:x=-2i$

##  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

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

###  Main Topic: Quadratic Equations

The quadratic equations (or second degree equations) are those equations where the greatest exponent to which the unknown is raised is the exponent 2.