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# Solve the quadratic equation $-5x^2+25x-1=0$

## Step-by-step Solution

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$x=4.959675,\:x=\frac{5}{124}$
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##  Step-by-step Solution 

Problem to solve:

$-5x^2+25x-1=0$

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For a simpler handling of the equation, change the sign of all terms, multiplying the entire whole by $-1$

$5x^2-25x-1\cdot -1=0$

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

$5x^2-25x-1\cdot -1=0$

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation -5x^2+25x-1=0. For a simpler handling of the equation, change the sign of all terms, multiplying the entire whole by -1. Multiply -1 times -1. 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=-25 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}. Simplifying.

$x=4.959675,\:x=\frac{5}{124}$

##  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 pointsFind the discriminant

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0
a
b
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m
n
u
v
w
x
y
z
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(◻)
+
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×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
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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