What are the solutions to the equation x^2-16x-55=0 ?

The solutions to the equation x^2-16x-55=0 are x=8+sqrt(119),x=8-sqrt(119)

Find the zeros of x^2-16x-55=0

The zeros of x^2-16x-55=0 are x=8+sqrt(119),x=8-sqrt(119)

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x^{2} - 16 x - 55 = 0

x = 8 + 119, x = 8 - 119

Decimal Notation

x = 18.90871 \dots, x = - 2.90871 \dots

Solution steps

x^{2} - 16 x - 55 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 1 \cdot ( - 55 )}{2 \cdot 1}

(- 16)^{2} - 4 \cdot 1 \cdot (- 55) = 2119

x_{1, 2} = \frac{- ( - 16 ) \pm 2 119}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 16 ) + 2 119}{2 \cdot 1}, x_{2} = \frac{- ( - 16 ) - 2 119}{2 \cdot 1}

x = \frac{- ( - 16 ) + 2 119}{2 \cdot 1} : 8 + 119

x = \frac{- ( - 16 ) - 2 119}{2 \cdot 1} : 8 - 119

The solutions to the quadratic equation are:

x = 8 + 119, x = 8 - 119

x^{2} + 21 x + 104 = 0

x^{2} - 10 + 21 = 0

x^{2} - 4 x + 49 = 0

x^{(2)} + x^{(2)} + 2 x + 1 = x^{(2)} + 4 x + 4 + 60

x, 3 x^{2} - x y + 4 y^{2} - 2 x + 1 = 0

What are the solutions to the equation x^2-16x-55=0 ?
The solutions to the equation x^2-16x-55=0 are x=8+sqrt(119),x=8-sqrt(119)
Find the zeros of x^2-16x-55=0
The zeros of x^2-16x-55=0 are x=8+sqrt(119),x=8-sqrt(119)