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Find the break even points of the expression $-9x^2+12x-4=0$

Step-by-step Solution

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Final answer to the problem

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

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For a simpler handling of the equation, change the sign of all terms, multiplying the entire whole by $-1$

$9x^2-12x+4=0$

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$9x^2-12x+4=0$

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Learn how to solve problems step by step online. Find the break even points of the expression -9x^2+12x+-4=0. For a simpler handling of the equation, change the sign of all terms, multiplying the entire whole by -1. The trinomial 9x^2-12x+4 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial.

Final answer to the problem

$x=\frac{2}{3}$

Exact Numeric Answer

$x=0.6667$

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 formula (general formula)Find the discriminant

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Function Plot

Plotting: $-9x^2+12x-4$

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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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