What are the solutions to the equation x^2-2/5 x+1/25 =0 ?

The solutions to the equation x^2-2/5 x+1/25 =0 are x= 1/5

Find the zeros of x^2-2/5 x+1/25 =0

The zeros of x^2-2/5 x+1/25 =0 are x= 1/5

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x^{2} - \frac{2}{5} x + \frac{1}{25} = 0

x = \frac{1}{5}

Decimal Notation

x = 0.2

Solution steps

x^{2} - \frac{2}{5} x + \frac{1}{25} = 0

Find Least Common Multiplier of

5, 25 : 25

Multiply by LCM=

25

x^{2} \cdot 25 - \frac{2}{5} x \cdot 25 + \frac{1}{25} \cdot 25 = 0 \cdot 25

Simplify

25 x^{2} - 10 x + 1 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 25 \cdot 1}{2 \cdot 25}

(- 10)^{2} - 4 \cdot 25 \cdot 1 = 0

x_{1, 2} = \frac{- ( - 10 ) \pm 0}{2 \cdot 25}

x = \frac{- ( - 10 )}{2 \cdot 25}

\frac{- ( - 10 )}{2 \cdot 25} = \frac{1}{5}

x = \frac{1}{5}

The solution to the quadratic equation is:

x = \frac{1}{5}

r^{2} - 9 r + 20 = 0

- 4 x^{2} - 12 x + 10 = 0

x, 11 x^{2} - 24 x y + 4 y^{2} + 20 = 0

x, x^{2} y - x^{2} - 4 x y + 4 y = 0

2 - 3 x^{2} = 2^{2} + 2 x^{2}

What are the solutions to the equation x^2-2/5 x+1/25 =0 ?
The solutions to the equation x^2-2/5 x+1/25 =0 are x= 1/5
Find the zeros of x^2-2/5 x+1/25 =0
The zeros of x^2-2/5 x+1/25 =0 are x= 1/5