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

## Step-by-step Solution

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$x=-2,\:x=-2$
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##  Step-by-step Solution 

Problem to solve:

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

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

$x=\frac{-1\pm \sqrt{1-4\frac{1}{4}\cdot 1}}{2\frac{1}{4}}$

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

$x=\frac{-1\pm \sqrt{1-4\frac{1}{4}\cdot 1}}{2\frac{1}{4}}$

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 1/4x^2+x+1=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=1 and c=1. 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{-1\pm \sqrt{1-4\frac{1}{4}\cdot 1}}{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 0 and -1.

$x=-2,\:x=-2$

##  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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cos
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sec
csc

asin
acos
atan
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sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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