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# Solve the quadratic equation $5x^2-x=-1+5$

## Step-by-step Solution

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$x=1,\:x=-0.8$
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##  Step-by-step Solution 

Problem to solve:

$5x^2-x=-1+5$

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Subtract the values $5$ and $-1$

$5x^2-x=4$

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

$5x^2-x=4$

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 5x^2-x=-1+5. Subtract the values 5 and -1. Rewrite the equation. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=5, b=-1 and c=-4. 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\cdot -1\pm \sqrt{{\left(-1\right)}^2-4\cdot 5\cdot -4}}{2\cdot 5}.

$x=1,\:x=-0.8$

##  Explore different ways to solve this problem

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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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