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Find the roots of $2x^2+x^2=-1\cdot 1^2+x^2$

Step-by-step Solution

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Final Answer

$x=\frac{\sqrt{2}}{2}i,\:x=-\frac{\sqrt{2}}{2}i$
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Step-by-step Solution

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Combining like terms $2x^2$ and $x^2$

$3x^2=-1\cdot 1^2+x^2$

Learn how to solve sum rule of differentiation problems step by step online.

$3x^2=-1\cdot 1^2+x^2$

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Learn how to solve sum rule of differentiation problems step by step online. Find the roots of 2x^2+x^2=-1^2+x^2. Combining like terms 2x^2 and x^2. Calculate the power 1^2. Move everything to the left hand side of the equation. Combining like terms 3x^2 and -x^2.

Final Answer

$x=\frac{\sqrt{2}}{2}i,\:x=-\frac{\sqrt{2}}{2}i$

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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

Solve for xSolve by factoringSolve by completing the squareSolve by quadratic formula (general formula)Find break even pointsFind the discriminant

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Function Plot

Plotting: $2x^2+x^2+1^2-x^2$

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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

How to improve your answer:

Main Topic: Sum Rule of Differentiation

The sum rule is a method to find the derivative of a function that is the sum of two or more functions.

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