👉 Try now NerdPal! Our new math app on iOS and Android
  1. calculators
  2. Quadratic Equations

Quadratic Equations Calculator

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

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!