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# Solve the quadratic equation $x^2- \left(\frac{228}{25}\right)x+\frac{847}{100}=0$

## Step-by-step Solution

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$x=\frac{9.12+\sqrt{{\left(-9.12\right)}^2-33.88}}{2},\:x=\frac{9.12-\sqrt{{\left(-9.12\right)}^2-33.88}}{2}$
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##  Step-by-step Solution 

Problem to solve:

$x^2- \left(\frac{228}{25}\right)x+\frac{847}{100}=0$

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Divide $-228$ by $25$

$x^2-\frac{228}{25}x+\frac{847}{100}=0$

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

$x^2-\frac{228}{25}x+\frac{847}{100}=0$

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation x^2-228/25x847/100=0. Divide -228 by 25. Divide 847 by 100. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=1, b=-\frac{228}{25} and c=\frac{847}{100}. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}. To obtain the two solutions, divide the equation in two equations, one when \pm is positive (+), and another when \pm is negative (-).

$x=\frac{9.12+\sqrt{{\left(-9.12\right)}^2-33.88}}{2},\:x=\frac{9.12-\sqrt{{\left(-9.12\right)}^2-33.88}}{2}$

##  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 points

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e
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ln
log
log
lim
d/dx
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sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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