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# Solve the quadratic equation $3x^2-11x-4=0$

## Step-by-step Solution

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$x=4,\:x=-\frac{1}{3}$
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##  Step-by-step Solution 

Problem to solve:

$3x^2-11x-4=0$

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1

Factor the trinomial $3x^2-11x-4$ of the form $ax^2+bx+c$, first, make the product of $3$ and $-4$

$\left(3\right)\left(-4\right)=-12$

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

$\left(3\right)\left(-4\right)=-12$

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 3x^2-11x-4=0. Factor the trinomial 3x^2-11x-4 of the form ax^2+bx+c, first, make the product of 3 and -4. Now, find two numbers that multiplied give us -12 and add up to -11. Rewrite the original expression. Factor 3x^2-12x+x-4 by the greatest common divisor 3.

$x=4,\:x=-\frac{1}{3}$

##  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

Solve for xFind the rootsSolve by factoringSolve by completing the squareSolve by quadratic formulaFind break even pointsFind the discriminant

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7
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9
0
a
b
c
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g
m
n
u
v
w
x
y
z
.
(◻)
+
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×
◻/◻
/
÷
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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