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Solve the quadratic equation $12x^2-1208x+22700=0$

Step-by-step Solution

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Final Answer

$x=\frac{227}{3},\:x=25$
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Step-by-step Solution

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Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($12$) to all terms

$12\left(x^2-\frac{302}{3}x+1891.666667\right)=0$

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$12\left(x^2-\frac{302}{3}x+1891.666667\right)=0$

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Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 12x^2-1208x+22700=0. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (12) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-\frac{302}{3}xx+2533.444444. Subtract the values 1891.666667 and 2533.444444.

Final Answer

$x=\frac{227}{3},\:x=25$

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Solve for xFind the rootsSolve by factoringSolve by quadratic formula (general formula)Find break even pointsFind the discriminant

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Function Plot

Plotting: $12x^2-1208x+22700$

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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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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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