What are the solutions to the equation x^2-2x+1=75 ?

The solutions to the equation x^2-2x+1=75 are x=1+5sqrt(3),x=1-5sqrt(3)

Find the zeros of x^2-2x+1=75

The zeros of x^2-2x+1=75 are x=1+5sqrt(3),x=1-5sqrt(3)

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x^{2} - 2 x + 1 = 75

x = 1 + 53, x = 1 - 53

Decimal Notation

x = 9.66025 \dots, x = - 7.66025 \dots

Solution steps

x^{2} - 2 x + 1 = 75

Move

75

to the left side

x^{2} - 2 x - 74 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 1 \cdot ( - 74 )}{2 \cdot 1}

(- 2)^{2} - 4 \cdot 1 \cdot (- 74) = 103

x_{1, 2} = \frac{- ( - 2 ) \pm 10 3}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 2 ) + 10 3}{2 \cdot 1}, x_{2} = \frac{- ( - 2 ) - 10 3}{2 \cdot 1}

x = \frac{- ( - 2 ) + 10 3}{2 \cdot 1} : 1 + 53

x = \frac{- ( - 2 ) - 10 3}{2 \cdot 1} : 1 - 53

The solutions to the quadratic equation are:

x = 1 + 53, x = 1 - 53

12 - x^{2} = - 23

x, y^{3} + y^{2} - 5 y - x^{2} = - 4

2 x^{2} - 15 x + 9 = 0

2 x^{2} + 12 x = 26

y, 2 x y^{2} + 4 = 2 (3 - x^{2} y) y

What are the solutions to the equation x^2-2x+1=75 ?
The solutions to the equation x^2-2x+1=75 are x=1+5sqrt(3),x=1-5sqrt(3)
Find the zeros of x^2-2x+1=75
The zeros of x^2-2x+1=75 are x=1+5sqrt(3),x=1-5sqrt(3)