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Find the break even points of the expression $2125x^2-84x-12495=0$

Step-by-step Solution

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Final answer to the problem

$x=\frac{84+\sqrt{106214556}}{4250},\:x=\frac{84-\sqrt{106214556}}{4250}$
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Step-by-step Solution

How should I solve this problem?

  • Find break even points
  • 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
  • Load more...
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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 $a=2125$, $b=-84$ and $c=-12495$. Then substitute the values of the coefficients of the equation in the quadratic formula: $\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{84\pm \sqrt{{\left(-84\right)}^2-4\cdot 2125\cdot -12495}}{2\cdot 2125}$

Learn how to solve classify algebraic expressions problems step by step online.

$x=\frac{84\pm \sqrt{{\left(-84\right)}^2-4\cdot 2125\cdot -12495}}{2\cdot 2125}$

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Learn how to solve classify algebraic expressions problems step by step online. Find the break even points of the expression 2125x^2-84x+-12495=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=2125, b=-84 and c=-12495. 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 (-). Combining all solutions, the 2 solutions of the equation are.

Final answer to the problem

$x=\frac{84+\sqrt{106214556}}{4250},\:x=\frac{84-\sqrt{106214556}}{4250}$

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Function Plot

Plotting: $2125x^2-84x-12495$

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a
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m
n
u
v
w
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: Classify algebraic expressions

An algebraic expression can be classified as a monomial, binomial, trinomial or polynomial, depending on the number of terms.

Used Formulas

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