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

## Step-by-step Solution

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###  Solution

$x=3.520797,\:x=-8.520797$
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##  Step-by-step Solution 

Problem to solve:

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

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1

Grouping all terms to the left side of the equation

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

Learn how to solve problems step by step online.

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

Learn how to solve problems step by step online. Solve the quadratic equation x^2+5x-25=5. Grouping all terms to the left side of the equation. Subtract the values -25 and -5. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=1, b=5 and c=-30. 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.

$x=3.520797,\:x=-8.520797$

##  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
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m
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u
v
w
x
y
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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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