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Solve the quadratic equation $3x^2-x-2=0$

Step-by-step Solution

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Final answer to the problem

$x=1,\:x=-\frac{2}{3}$
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Step-by-step Solution

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  • Solve for x
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
  • Simplify
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  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
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1

Factor the trinomial $3x^2-x-2$ of the form $ax^2+bx+c$, first, make the product of $3$ and $-2$

$\left(3\right)\left(-2\right)=-6$

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

$\left(3\right)\left(-2\right)=-6$

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Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 3x^2-x+-2=0. Factor the trinomial 3x^2-x-2 of the form ax^2+bx+c, first, make the product of 3 and -2. Now, find two numbers that multiplied give us -6 and add up to -1. Rewrite the original expression. Factor 3x^2-3x+2x-2 by the greatest common divisor 3.

Final answer to the problem

$x=1,\:x=-\frac{2}{3}$

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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: $3x^2-x-2$

SnapXam A2
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

How to improve your answer:

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.

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