Mister Exam

Other calculators


x^2-10x=0

x^2-10x=0 equation

The teacher will be very surprised to see your correct solution 😉

v

Numerical solution:

Do search numerical solution at [, ]

The solution

You have entered [src]
 2           
x  - 10*x = 0
x210x=0x^{2} - 10 x = 0
Detail solution
This equation is of the form
a*x^2 + b*x + c = 0

A quadratic equation can be solved
using the discriminant.
The roots of the quadratic equation:
x1=Db2ax_{1} = \frac{\sqrt{D} - b}{2 a}
x2=Db2ax_{2} = \frac{- \sqrt{D} - b}{2 a}
where D = b^2 - 4*a*c - it is the discriminant.
Because
a=1a = 1
b=10b = -10
c=0c = 0
, then
D = b^2 - 4 * a * c = 

(-10)^2 - 4 * (1) * (0) = 100

Because D > 0, then the equation has two roots.
x1 = (-b + sqrt(D)) / (2*a)

x2 = (-b - sqrt(D)) / (2*a)

or
x1=10x_{1} = 10
x2=0x_{2} = 0
Vieta's Theorem
it is reduced quadratic equation
px+q+x2=0p x + q + x^{2} = 0
where
p=bap = \frac{b}{a}
p=10p = -10
q=caq = \frac{c}{a}
q=0q = 0
Vieta Formulas
x1+x2=px_{1} + x_{2} = - p
x1x2=qx_{1} x_{2} = q
x1+x2=10x_{1} + x_{2} = 10
x1x2=0x_{1} x_{2} = 0
The graph
05-15-10-53010152025-250250
Sum and product of roots [src]
sum
10
1010
=
10
1010
product
0*10
0100 \cdot 10
=
0
00
0
Rapid solution [src]
x1 = 0
x1=0x_{1} = 0
x2 = 10
x2=10x_{2} = 10
x2 = 10
Numerical answer [src]
x1 = 0.0
x2 = 10.0
x2 = 10.0
The graph
x^2-10x=0 equation