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

Step-by-step Solution

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Final answer to the problem

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

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  • Solve for x
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
  • Simplify
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  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
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To find the roots of a polynomial of the form $ax^2+bx+c$ we use the quadratic formula, where in this case $a=12$, $b=-1208$ and $c=22700$. Then substitute the values of the coefficients of the equation in the quadratic formula: $\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{1208\pm \sqrt{{\left(-1208\right)}^2-4\cdot 12\cdot 22700}}{2\cdot 12}$

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

$x=\frac{1208\pm \sqrt{{\left(-1208\right)}^2-4\cdot 12\cdot 22700}}{2\cdot 12}$

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Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 12x^2-1208x+22700=0. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=12, b=-1208 and c=22700. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}. Simplifying. To obtain the two solutions, divide the equation in two equations, one when \pm is positive (+), and another when \pm is negative (-). Subtract the values 1208 and -608.

Final answer to the problem

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

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

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a
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g
m
n
u
v
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x
y
z
.
(◻)
+
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×
◻/◻
/
÷
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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

How to improve your answer:

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.

Used Formulas

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