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

Step-by-step Solution

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Final answer to the problem

$x=1,\:x=-3$
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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
  • Load more...
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1

Move everything to the left hand side of the equation

$2x-3+x^2=0$

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$2x-3+x^2=0$

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Unlock the first 3 steps of this solution

Learn how to solve 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

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

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

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Function Plot

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

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Answer Assistant

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Got a different answer? Verify it!

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

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