What are the solutions to the equation 25x^2-50x-25=0 ?

The solutions to the equation 25x^2-50x-25=0 are x=1+sqrt(2),x=1-sqrt(2)

Find the zeros of 25x^2-50x-25=0

The zeros of 25x^2-50x-25=0 are x=1+sqrt(2),x=1-sqrt(2)

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25 x^{2} - 50 x - 25 = 0

x = 1 + 2, x = 1 - 2

Decimal Notation

x = 2.41421 \dots, x = - 0.41421 \dots

Solution steps

25 x^{2} - 50 x - 25 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 50 ) \pm ( - 50 ) ^{2} - 4 \cdot 25 ( - 25 )}{2 \cdot 25}

(- 50)^{2} - 4 \cdot 25 (- 25) = 502

x_{1, 2} = \frac{- ( - 50 ) \pm 50 2}{2 \cdot 25}

Separate the solutions

x_{1} = \frac{- ( - 50 ) + 50 2}{2 \cdot 25}, x_{2} = \frac{- ( - 50 ) - 50 2}{2 \cdot 25}

x = \frac{- ( - 50 ) + 50 2}{2 \cdot 25} : 1 + 2

x = \frac{- ( - 50 ) - 50 2}{2 \cdot 25} : 1 - 2

The solutions to the quadratic equation are:

x = 1 + 2, x = 1 - 2

5 x^{2} - 8 x - 30 = 0

m^{2} + 4 m = - 3

3 (d - x)^{2} = x^{2}

12 x^{2} = 8 x - 8

u^{2} + 5 u + 6 = 0

What are the solutions to the equation 25x^2-50x-25=0 ?
The solutions to the equation 25x^2-50x-25=0 are x=1+sqrt(2),x=1-sqrt(2)
Find the zeros of 25x^2-50x-25=0
The zeros of 25x^2-50x-25=0 are x=1+sqrt(2),x=1-sqrt(2)