ðŸ‘‰ Try now NerdPal! Our new math app on iOS and Android

## Get detailed solutions to your math problems with our Quadratic Equations step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here.

Go!
Symbolic mode
Text mode
Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
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

###  Difficult Problems

1

Here, we show you a step-by-step solved example of quadratic equations. This solution was automatically generated by our smart calculator:

$x^2-1=99$
2

We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $-1$ from both sides of the equation

$x^2-1+1=99+1$

Canceling terms on both sides

$x^2=99- -1$

Multiply $-1$ times $-1$

$x^2=99+1$

Add the values $99$ and $1$

$x^2=100$
3

Canceling terms on both sides

$x^2=100$
4

Removing the variable's exponent

$\sqrt{x^2}=\pm \sqrt{100}$
5

Calculate the power $\sqrt{100}$

$\sqrt{x^2}=\pm 10$
6

Cancel exponents $2$ and $1$

$x=\pm 10$
7

As in the equation we have the sign $\pm$, this produces two identical equations that differ in the sign of the term $10$. We write and solve both equations, one taking the positive sign, and the other taking the negative sign

$x=10,\:x=-10$
8

Combining all solutions, the $2$ solutions of the equation are

$x=10,\:x=-10$

##  Final answer to the problem

$x=10,\:x=-10$

### Are you struggling with math?

Access detailed step by step solutions to thousands of problems, growing every day!