Solve the quadratic equation $143x^2-174x+1392=0$

Step-by-step Solution

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Final answer to the problem

$x=\frac{174+\sqrt{765948}i}{286},\:x=\frac{174-\sqrt{765948}i}{286}$
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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
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
  • Find break even points
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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 $a=143$, $b=-174$ and $c=1392$. Then substitute the values of the coefficients of the equation in the quadratic formula: $\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{174\pm \sqrt{{\left(-174\right)}^2-4\cdot 143\cdot 1392}}{2\cdot 143}$

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$x=\frac{174\pm \sqrt{{\left(-174\right)}^2-4\cdot 143\cdot 1392}}{2\cdot 143}$

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Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 143x^2-174x+1392=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=143, b=-174 and c=1392. 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

$x=\frac{174+\sqrt{765948}i}{286},\:x=\frac{174-\sqrt{765948}i}{286}$

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Plotting: $143x^2-174x+1392$

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x
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(◻)
+
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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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