What are the solutions to the equation x^2-2x+1=50 ?

The solutions to the equation x^2-2x+1=50 are x=1+5sqrt(2),x=1-5sqrt(2)

Find the zeros of x^2-2x+1=50

The zeros of x^2-2x+1=50 are x=1+5sqrt(2),x=1-5sqrt(2)

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x^{2} - 2 x + 1 = 50

x = 1 + 52, x = 1 - 52

Decimal Notation

x = 8.07106 \dots, x = - 6.07106 \dots

Solution steps

x^{2} - 2 x + 1 = 50

Move

50

to the left side

x^{2} - 2 x - 49 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 1 \cdot ( - 49 )}{2 \cdot 1}

(- 2)^{2} - 4 \cdot 1 \cdot (- 49) = 102

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

Separate the solutions

x_{1} = \frac{- ( - 2 ) + 10 2}{2 \cdot 1}, x_{2} = \frac{- ( - 2 ) - 10 2}{2 \cdot 1}

x = \frac{- ( - 2 ) + 10 2}{2 \cdot 1} : 1 + 52

x = \frac{- ( - 2 ) - 10 2}{2 \cdot 1} : 1 - 52

The solutions to the quadratic equation are:

x = 1 + 52, x = 1 - 52

3 x^{2} + 114 = - 42 x

5 + 7 + 9 + (2 n + 3) = n (n + 4)

v^{2} = - 19 v

0 = x^{2} + 16 x + 64

N (d) = - 2 d^{2} + 16 d - 14

What are the solutions to the equation x^2-2x+1=50 ?
The solutions to the equation x^2-2x+1=50 are x=1+5sqrt(2),x=1-5sqrt(2)
Find the zeros of x^2-2x+1=50
The zeros of x^2-2x+1=50 are x=1+5sqrt(2),x=1-5sqrt(2)