What are the solutions to the equation solvefor x,I(x)=5x-x^2 ?

The solutions to the equation solvefor x,I(x)=5x-x^2 are x=0,x=5-I

Find the zeros of solvefor x,I(x)=5x-x^2

The zeros of solvefor x,I(x)=5x-x^2 are x=0,x=5-I

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solve for

x, I (x) = 5 x - x^{2}

x = 0, x = 5 - I

Solution steps

I (x) = 5 x - x^{2}

Refine

x I = 5 x - x^{2}

Switch sides

5 x - x^{2} = x I

Move

x I

to the left side

5 x - x^{2} - x I = 0

Write in the standard form

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

- x^{2} + (5 - I) x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( 5 - I ) \pm ( 5 - I ) ^{2} - 4 ( - 1 ) \cdot 0}{2 ( - 1 )}

Simplify

(5 - I)^{2} - 4 (- 1) \cdot 0 : - I + 5

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

Separate the solutions

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

x = \frac{- ( 5 - I ) - I + 5}{2 ( - 1 )} : 0

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

The solutions to the quadratic equation are:

x = 0, x = 5 - I

x, 2 x^{2} - 3 x + 3 = 0

y, x^{2} + (y - 2)^{2} = 4

5 x^{2} - 50 x + 60 = - 5

- 15 x^{2} + 17 x - 6 = 0

3 x^{2} - 21 x - 54 = 0

What are the solutions to the equation solvefor x,I(x)=5x-x^2 ?
The solutions to the equation solvefor x,I(x)=5x-x^2 are x=0,x=5-I
Find the zeros of solvefor x,I(x)=5x-x^2
The zeros of solvefor x,I(x)=5x-x^2 are x=0,x=5-I