What are the solutions to the equation x^2-6x-11=0 ?

The solutions to the equation x^2-6x-11=0 are x=3+2sqrt(5),x=3-2sqrt(5)

Find the zeros of x^2-6x-11=0

The zeros of x^2-6x-11=0 are x=3+2sqrt(5),x=3-2sqrt(5)

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x^{2} - 6 x - 11 = 0

x = 3 + 25, x = 3 - 25

Decimal Notation

x = 7.47213 \dots, x = - 1.47213 \dots

Solution steps

x^{2} - 6 x - 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( - 11 )}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot (- 11) = 45

x_{1, 2} = \frac{- ( - 6 ) \pm 4 5}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 4 5}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 4 5}{2 \cdot 1}

x = \frac{- ( - 6 ) + 4 5}{2 \cdot 1} : 3 + 25

x = \frac{- ( - 6 ) - 4 5}{2 \cdot 1} : 3 - 25

The solutions to the quadratic equation are:

x = 3 + 25, x = 3 - 25

12 ab + a + 12 b + 1

(3^{\frac{2}{5}})^{\frac{1}{2}}

0.5 x^{2} + 1 \leq 5 x

x y + 7 y - 6 x - 42

(x - 5)^{2} + 4 (x - 5) - 5 = 0

What are the solutions to the equation x^2-6x-11=0 ?
The solutions to the equation x^2-6x-11=0 are x=3+2sqrt(5),x=3-2sqrt(5)
Find the zeros of x^2-6x-11=0
The zeros of x^2-6x-11=0 are x=3+2sqrt(5),x=3-2sqrt(5)