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# Solve the quadratic equation $\frac{1}{4}x^2-3x-2=0$

## Step-by-step Solution

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$x=12.63325,\:x=-0.63325$
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##  Step-by-step Solution 

Problem to solve:

$\frac{1}{4}x^2-3x-2=0$

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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 $a=\frac{1}{4}$, $b=-3$ and $c=-2$. Then substitute the values of the coefficients of the equation in the quadratic formula: $\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{3\pm \sqrt{{\left(-3\right)}^2-4\frac{1}{4}\cdot -2}}{2\frac{1}{4}}$

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

$x=\frac{3\pm \sqrt{{\left(-3\right)}^2-4\frac{1}{4}\cdot -2}}{2\frac{1}{4}}$

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 1/4x^2-3x-2=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{1}{4}, b=-3 and c=-2. 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{3\pm \sqrt{{\left(-3\right)}^2-4\frac{1}{4}\cdot -2}}{2\frac{1}{4}}. 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 3 and -\sqrt{11}.

$x=12.63325,\:x=-0.63325$

##  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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asin
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sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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