Find the break even points of the expression $21x^2+12x-10=0$

Step-by-step Solution

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Final answer to the problem

$x=\frac{-12+\sqrt{984}}{42},\:x=\frac{-12-\sqrt{984}}{42}$
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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 $a=21$, $b=12$ and $c=-10$. Then substitute the values of the coefficients of the equation in the quadratic formula: $\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-12\pm \sqrt{12^2-4\cdot 21\cdot -10}}{2\cdot 21}$

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

$x=\frac{-12\pm \sqrt{12^2-4\cdot 21\cdot -10}}{2\cdot 21}$

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Learn how to solve classify algebraic expressions problems step by step online. Find the break even points of the expression 21x^2+12x+-10=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=21, b=12 and c=-10. 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

$x=\frac{-12+\sqrt{984}}{42},\:x=\frac{-12-\sqrt{984}}{42}$

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Function Plot

Plotting: $21x^2+12x-10$

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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

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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