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# Solve the quadratic equation $11x^2+14x-16=0$

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##  Final answer to the problem

$x=-2,\:x=\frac{8}{11}$
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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
Can't find a method? Tell us so we can add it.
1

Factor the trinomial $11x^2+14x-16$ of the form $ax^2+bx+c$, first, make the product of $11$ and $-16$

$\left(11\right)\left(-16\right)=-176$

Learn how to solve problems step by step online.

$\left(11\right)\left(-16\right)=-176$

Learn how to solve problems step by step online. Solve the quadratic equation 11x^2+14x+-16=0. Factor the trinomial 11x^2+14x-16 of the form ax^2+bx+c, first, make the product of 11 and -16. Now, find two numbers that multiplied give us -176 and add up to 14. Rewrite the original expression. Factor 11x^2+22x-8x-16 by the greatest common divisor 11.

##  Final answer to the problem

$x=-2,\:x=\frac{8}{11}$

##  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

SnapXam A2

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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