What are the solutions to the equation x^2-16x-11=0 ?

The solutions to the equation x^2-16x-11=0 are x=8+5sqrt(3),x=8-5sqrt(3)

Find the zeros of x^2-16x-11=0

The zeros of x^2-16x-11=0 are x=8+5sqrt(3),x=8-5sqrt(3)

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x^{2} - 16 x - 11 = 0

x = 8 + 53, x = 8 - 53

Decimal Notation

x = 16.66025 \dots, x = - 0.66025 \dots

Solution steps

x^{2} - 16 x - 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 1 \cdot ( - 11 )}{2 \cdot 1}

(- 16)^{2} - 4 \cdot 1 \cdot (- 11) = 103

x_{1, 2} = \frac{- ( - 16 ) \pm 10 3}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 16 ) + 10 3}{2 \cdot 1}, x_{2} = \frac{- ( - 16 ) - 10 3}{2 \cdot 1}

x = \frac{- ( - 16 ) + 10 3}{2 \cdot 1} : 8 + 53

x = \frac{- ( - 16 ) - 10 3}{2 \cdot 1} : 8 - 53

The solutions to the quadratic equation are:

x = 8 + 53, x = 8 - 53

d = 16 (120)^{2}

\frac{x}{2} - 3 < 4

6 x^{2} - 30 x + 24 > 0

6 + (- 4)

x^{2} - 5 x - 50 = 0

What are the solutions to the equation x^2-16x-11=0 ?
The solutions to the equation x^2-16x-11=0 are x=8+5sqrt(3),x=8-5sqrt(3)
Find the zeros of x^2-16x-11=0
The zeros of x^2-16x-11=0 are x=8+5sqrt(3),x=8-5sqrt(3)