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Solve the quadratic equation $2x=3-x^2$

Step-by-step Solution

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Solution

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Final answer to the problem

$x=1,\:x=-3$
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Step-by-step Solution

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Learn how to solve differential equations problems step by step online. Solve the quadratic equation 2x=3-x^2. Move everything to the left hand side of the equation. Sort the polynomial 2x-3+x^2 in descending order to handle it more easily. Factor the trinomial x^2+2x-3 finding two numbers that multiply to form -3 and added form 2. Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values.

Final answer to the problem

$x=1,\:x=-3$

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Function Plot

Plotting: $2x-3+x^2$

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0
a
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n
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x
y
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.
(◻)
+
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×
◻/◻
/
÷
◻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: Differential Equations

A differential equation is a mathematical equation that relates some function with its derivatives.

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