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# Solve the quadratic equation $1200x^2-600x+8=0$

## Step-by-step Solution

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$x=0.486291,\:x=0.013709$
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##  Step-by-step Solution 

Problem to solve:

$1200x^2-600x+8=0$

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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 $a=1200$, $b=-600$ and $c=8$. Then substitute the values of the coefficients of the equation in the quadratic formula: $\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{600\pm \sqrt{{\left(-600\right)}^2-4\cdot 1200\cdot 8}}{2\cdot 1200}$

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

$x=\frac{600\pm \sqrt{{\left(-600\right)}^2-4\cdot 1200\cdot 8}}{2\cdot 1200}$

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 1200x^2-600x+8=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=1200, b=-600 and c=8. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}. Simplify \frac{600\pm \sqrt{{\left(-600\right)}^2-4\cdot 1200\cdot 8}}{2\cdot 1200}. 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 600 and -567.097875.

$x=0.486291,\:x=0.013709$

##  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

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csch

asinh
acosh
atanh
acoth
asech
acsch

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