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

## Step-by-step Solution

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

Problem to solve:

$12x^2-1208x+22700=0$

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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.

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

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.

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

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve for xFind the rootsSolve by factoringSolve by completing the squareSolve by quadratic formulaFind break even pointsFind the discriminant

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sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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