What are the solutions to the equation x^2-11x-9=0 ?

The solutions to the equation x^2-11x-9=0 are x=(11+sqrt(157))/2 ,x=(11-sqrt(157))/2

Find the zeros of x^2-11x-9=0

The zeros of x^2-11x-9=0 are x=(11+sqrt(157))/2 ,x=(11-sqrt(157))/2

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x^{2} - 11 x - 9 = 0

x = \frac{11 + 157}{2}, x = \frac{11 - 157}{2}

Decimal Notation

x = 11.76498 \dots, x = - 0.76498 \dots

Solution steps

x^{2} - 11 x - 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 1 \cdot ( - 9 )}{2 \cdot 1}

(- 11)^{2} - 4 \cdot 1 \cdot (- 9) = 157

x_{1, 2} = \frac{- ( - 11 ) \pm 157}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 11 ) + 157}{2 \cdot 1}, x_{2} = \frac{- ( - 11 ) - 157}{2 \cdot 1}

x = \frac{- ( - 11 ) + 157}{2 \cdot 1} : \frac{11 + 157}{2}

x = \frac{- ( - 11 ) - 157}{2 \cdot 1} : \frac{11 - 157}{2}

The solutions to the quadratic equation are:

x = \frac{11 + 157}{2}, x = \frac{11 - 157}{2}

10 x^{2} + 13 x = 30

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

3 x^{2} - 14 x = - 8

- 4.9 t^{2} + 73.92 = 39.69

x, x^{2} y - 6 = x y^{2}

What are the solutions to the equation x^2-11x-9=0 ?
The solutions to the equation x^2-11x-9=0 are x=(11+sqrt(157))/2 ,x=(11-sqrt(157))/2
Find the zeros of x^2-11x-9=0
The zeros of x^2-11x-9=0 are x=(11+sqrt(157))/2 ,x=(11-sqrt(157))/2