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

The solutions to the equation -x^2-x+11=0 are x=-(1+3sqrt(5))/2 ,x=(3sqrt(5)-1)/2

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

The zeros of -x^2-x+11=0 are x=-(1+3sqrt(5))/2 ,x=(3sqrt(5)-1)/2

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

x = - \frac{1 + 3 5}{2}, x = \frac{3 5 - 1}{2}

Decimal Notation

x = - 3.85410 \dots, x = 2.85410 \dots

Solution steps

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

Solve with the quadratic formula

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

(- 1)^{2} - 4 (- 1) \cdot 11 = 35

x_{1, 2} = \frac{- ( - 1 ) \pm 3 5}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- ( - 1 ) + 3 5}{2 ( - 1 )}, x_{2} = \frac{- ( - 1 ) - 3 5}{2 ( - 1 )}

x = \frac{- ( - 1 ) + 3 5}{2 ( - 1 )} : - \frac{1 + 3 5}{2}

x = \frac{- ( - 1 ) - 3 5}{2 ( - 1 )} : \frac{3 5 - 1}{2}

The solutions to the quadratic equation are:

x = - \frac{1 + 3 5}{2}, x = \frac{3 5 - 1}{2}

10 x^{2} = 13 x - 4

5 x^{2} - x + 1 = 3

3 (x - 3) = 11 - 5 (3 x + 1)

4 p^{2} = - 17 p - 4

What are the solutions to the equation -x^2-x+11=0 ?
The solutions to the equation -x^2-x+11=0 are x=-(1+3sqrt(5))/2 ,x=(3sqrt(5)-1)/2
Find the zeros of -x^2-x+11=0
The zeros of -x^2-x+11=0 are x=-(1+3sqrt(5))/2 ,x=(3sqrt(5)-1)/2