What are the solutions to the equation a-5-a^2=0 ?

The solutions to the equation a-5-a^2=0 are a= 1/2-i(sqrt(19))/2 ,a= 1/2+i(sqrt(19))/2

Find the zeros of a-5-a^2=0

The zeros of a-5-a^2=0 are a= 1/2-i(sqrt(19))/2 ,a= 1/2+i(sqrt(19))/2

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a - 5 - a^{2} = 0

a = \frac{1}{2} - i \frac{19}{2}, a = \frac{1}{2} + i \frac{19}{2}

Solution steps

a - 5 - a^{2} = 0

Write in the standard form

a x^{2} + b x + c = 0

- a^{2} + a - 5 = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 ( - 1 ) ( - 5 )}{2 ( - 1 )}

Simplify

1^{2} - 4 (- 1) (- 5) : 19 i

a_{1, 2} = \frac{- 1 \pm 19 i}{2 ( - 1 )}

Separate the solutions

a_{1} = \frac{- 1 + 19 i}{2 ( - 1 )}, a_{2} = \frac{- 1 - 19 i}{2 ( - 1 )}

a = \frac{- 1 + 19 i}{2 ( - 1 )} : \frac{1}{2} - i \frac{19}{2}

a = \frac{- 1 - 19 i}{2 ( - 1 )} : \frac{1}{2} + i \frac{19}{2}

The solutions to the quadratic equation are:

a = \frac{1}{2} - i \frac{19}{2}, a = \frac{1}{2} + i \frac{19}{2}

x^{2} - x = - 0.25

s^{2} = 5

- 4.9 x^{2} + 33 x = 0

15 x^{2} - 10 x = 0

2 x^{2} - 3 x - 8 = 0

What are the solutions to the equation a-5-a^2=0 ?
The solutions to the equation a-5-a^2=0 are a= 1/2-i(sqrt(19))/2 ,a= 1/2+i(sqrt(19))/2
Find the zeros of a-5-a^2=0
The zeros of a-5-a^2=0 are a= 1/2-i(sqrt(19))/2 ,a= 1/2+i(sqrt(19))/2