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Solve the equation $x^3-7x^2+5=x\left(x^2-1\right)+3x^2-2$

Step-by-step Solution

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Solution

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Final answer to the problem

$x=0.8881527,\:x=-0.7881527$
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Step-by-step Solution

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Move everything to the left hand side of the equation

$x^3-7x^2+5-x\left(x^2-1\right)-3x^2+2=0$

Learn how to solve definite integrals problems step by step online.

$x^3-7x^2+5-x\left(x^2-1\right)-3x^2+2=0$

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Learn how to solve definite integrals problems step by step online. Solve the equation x^3-7x^2+5=x(x^2-1)+3x^2+-2. Move everything to the left hand side of the equation. Add the values 5 and 2. Combining like terms -7x^2 and -3x^2. Simplify the product -(x^2-1).

Final answer to the problem

$x=0.8881527,\:x=-0.7881527$

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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

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Function Plot

Plotting: $x^3-7x^2+5-x\left(x^2-1\right)-3x^2+2$

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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
D□x
∫
∫◻
|◻|
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:

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Main Topic: Definite Integrals

Given a function f(x) and the interval [a,b], the definite integral is equal to the area that is bounded by the graph of f(x), the x-axis and the vertical lines x=a and x=b

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