What are the solutions to the equation x/2 =(x^2)/(25) ?

The solutions to the equation x/2 =(x^2)/(25) are x= 25/2 ,x=0

Find the zeros of x/2 =(x^2)/(25)

The zeros of x/2 =(x^2)/(25) are x= 25/2 ,x=0

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\frac{x}{2} = \frac{x ^{2}}{25}

x = \frac{25}{2}, x = 0

Decimal Notation

x = 12.5, x = 0

Solution steps

\frac{x}{2} = \frac{x ^{2}}{25}

Find Least Common Multiplier of

2, 25 : 50

Multiply by LCM=

50

\frac{x}{2} \cdot 50 = \frac{x ^{2}}{25} \cdot 50

Simplify

25 x = 2 x^{2}

Switch sides

2 x^{2} = 25 x

Move

25 x

to the left side

2 x^{2} - 25 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 25 ) \pm ( - 25 ) ^{2} - 4 \cdot 2 \cdot 0}{2 \cdot 2}

(- 25)^{2} - 4 \cdot 2 \cdot 0 = 25

x_{1, 2} = \frac{- ( - 25 ) \pm 25}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- ( - 25 ) + 25}{2 \cdot 2}, x_{2} = \frac{- ( - 25 ) - 25}{2 \cdot 2}

x = \frac{- ( - 25 ) + 25}{2 \cdot 2} : \frac{25}{2}

x = \frac{- ( - 25 ) - 25}{2 \cdot 2} : 0

The solutions to the quadratic equation are:

x = \frac{25}{2}, x = 0

(0.00000064 - x) (0.00000114 - x) = 4.1 E - 13

v^{2} - 7 v + 12 = 0

18 p^{2} - 164 p + 285 = - 3 - 8 p

10 m^{2} - 2 m = 7

3 (x + 4)^{2} - 5 = 55

What are the solutions to the equation x/2 =(x^2)/(25) ?
The solutions to the equation x/2 =(x^2)/(25) are x= 25/2 ,x=0
Find the zeros of x/2 =(x^2)/(25)
The zeros of x/2 =(x^2)/(25) are x= 25/2 ,x=0