What are the solutions to the equation x^2-11x-7=0 ?

The solutions to the equation x^2-11x-7=0 are x=(11+sqrt(149))/2 ,x=(11-sqrt(149))/2

Find the zeros of x^2-11x-7=0

The zeros of x^2-11x-7=0 are x=(11+sqrt(149))/2 ,x=(11-sqrt(149))/2

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x^{2} - 11 x - 7 = 0

x = \frac{11 + 149}{2}, x = \frac{11 - 149}{2}

Decimal Notation

x = 11.60327 \dots, x = - 0.60327 \dots

Solution steps

x^{2} - 11 x - 7 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 1 \cdot ( - 7 )}{2 \cdot 1}

(- 11)^{2} - 4 \cdot 1 \cdot (- 7) = 149

x_{1, 2} = \frac{- ( - 11 ) \pm 149}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 11 ) + 149}{2 \cdot 1}, x_{2} = \frac{- ( - 11 ) - 149}{2 \cdot 1}

x = \frac{- ( - 11 ) + 149}{2 \cdot 1} : \frac{11 + 149}{2}

x = \frac{- ( - 11 ) - 149}{2 \cdot 1} : \frac{11 - 149}{2}

The solutions to the quadratic equation are:

x = \frac{11 + 149}{2}, x = \frac{11 - 149}{2}

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5 x^{2} - 2 x^{3}

2 x^{2} - 26 = 0

4 (x + 5) = 36

- 9 - (2 x + 3) = 5 (x - 1)

What are the solutions to the equation x^2-11x-7=0 ?
The solutions to the equation x^2-11x-7=0 are x=(11+sqrt(149))/2 ,x=(11-sqrt(149))/2
Find the zeros of x^2-11x-7=0
The zeros of x^2-11x-7=0 are x=(11+sqrt(149))/2 ,x=(11-sqrt(149))/2