What are the solutions to the equation -X^2+5X-100=0 ?

The solutions to the equation -X^2+5X-100=0 are X= 5/2-i(5sqrt(15))/2 ,X= 5/2+i(5sqrt(15))/2

Find the zeros of -X^2+5X-100=0

The zeros of -X^2+5X-100=0 are X= 5/2-i(5sqrt(15))/2 ,X= 5/2+i(5sqrt(15))/2

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- X^{2} + 5 X - 100 = 0

X = \frac{5}{2} - i \frac{5 15}{2}, X = \frac{5}{2} + i \frac{5 15}{2}

Solution steps

- X^{2} + 5 X - 100 = 0

Solve with the quadratic formula

X_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 ( - 1 ) ( - 100 )}{2 ( - 1 )}

Simplify

5^{2} - 4 (- 1) (- 100) : 515 i

X_{1, 2} = \frac{- 5 \pm 5 15 i}{2 ( - 1 )}

Separate the solutions

X_{1} = \frac{- 5 + 5 15 i}{2 ( - 1 )}, X_{2} = \frac{- 5 - 5 15 i}{2 ( - 1 )}

X = \frac{- 5 + 5 15 i}{2 ( - 1 )} : \frac{5}{2} - i \frac{5 15}{2}

X = \frac{- 5 - 5 15 i}{2 ( - 1 )} : \frac{5}{2} + i \frac{5 15}{2}

The solutions to the quadratic equation are:

X = \frac{5}{2} - i \frac{5 15}{2}, X = \frac{5}{2} + i \frac{5 15}{2}

x^{2} + 15 x + 18 = 0

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

x^{2} + 12 x + 36 = 121

(y - 7)^{2} - 6 (y - 7) + 5 = 0

59 = y^{2} - 10 y

What are the solutions to the equation -X^2+5X-100=0 ?
The solutions to the equation -X^2+5X-100=0 are X= 5/2-i(5sqrt(15))/2 ,X= 5/2+i(5sqrt(15))/2
Find the zeros of -X^2+5X-100=0
The zeros of -X^2+5X-100=0 are X= 5/2-i(5sqrt(15))/2 ,X= 5/2+i(5sqrt(15))/2