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

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 Final answer to the problem

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

How should I solve this problem?

• Choose an option
• 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
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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.

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

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

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

 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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Answer Assistant

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

 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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