What are the solutions to the equation x^2-16x+1=0 ?

The solutions to the equation x^2-16x+1=0 are x=8+3sqrt(7),x=8-3sqrt(7)

Find the zeros of x^2-16x+1=0

The zeros of x^2-16x+1=0 are x=8+3sqrt(7),x=8-3sqrt(7)

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x^{2} - 16 x + 1 = 0

x = 8 + 37, x = 8 - 37

Decimal Notation

x = 15.93725 \dots, x = 0.06274 \dots

Solution steps

x^{2} - 16 x + 1 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 1 \cdot 1}{2 \cdot 1}

(- 16)^{2} - 4 \cdot 1 \cdot 1 = 67

x_{1, 2} = \frac{- ( - 16 ) \pm 6 7}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 16 ) + 6 7}{2 \cdot 1}, x_{2} = \frac{- ( - 16 ) - 6 7}{2 \cdot 1}

x = \frac{- ( - 16 ) + 6 7}{2 \cdot 1} : 8 + 37

x = \frac{- ( - 16 ) - 6 7}{2 \cdot 1} : 8 - 37

The solutions to the quadratic equation are:

x = 8 + 37, x = 8 - 37

x^{2} - 6 x = - 156

6 x^{2} - 72 = 0

2 x = 5 x^{2} - 3

9 x^{2} + 36 = 0

(4 - k) x^{2} + 2 k x + 2 = 0

What are the solutions to the equation x^2-16x+1=0 ?
The solutions to the equation x^2-16x+1=0 are x=8+3sqrt(7),x=8-3sqrt(7)
Find the zeros of x^2-16x+1=0
The zeros of x^2-16x+1=0 are x=8+3sqrt(7),x=8-3sqrt(7)