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# Solve the quadratic equation $\frac{669}{4}x^2- \left(\frac{8058}{25}\right)x+\frac{13907}{125}=0$

## Step-by-step Solution

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$x=1.476708,\:x=0.450467$
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##  Step-by-step Solution 

Problem to solve:

$\frac{669}{4}x^2- \left(\frac{8058}{25}\right)x+\frac{13907}{125}=0$

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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 $a=\frac{669}{4}$, $b=-\frac{8058}{25}$ and $c=111.256$. Then substitute the values of the coefficients of the equation in the quadratic formula: $\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{2}{669} \frac{8058}{25}\pm 171.638919$

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$x=\frac{2}{669} \frac{8058}{25}\pm 171.638919$

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 669/4x^2-8058/25x13907/125=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=\frac{669}{4}, b=-\frac{8058}{25} and c=111.256. 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 (-). Subtract the values \frac{8058}{25} and -171.638919. Add the values \frac{8058}{25} and 171.638919.

$x=1.476708,\:x=0.450467$

##  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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