What are the solutions to the equation completesquare-x^2+6x-5 ?

The solutions to the equation completesquare-x^2+6x-5 are -(x-3)^2+4

Find the zeros of completesquare-x^2+6x-5

The zeros of completesquare-x^2+6x-5 are -(x-3)^2+4

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complete the square

- x^{2} + 6 x - 5

- (x - 3)^{2} + 4

Solution steps

- x^{2} + 6 x - 5

Write

- x^{2} + 6 x - 5

in the form:

x^{2} + 2 a x + a^{2}

Factor out

- 1

- (x^{2} - 6 x + 5)

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

- (x^{2} - 6 x + 5 + (- 3)^{2} - (- 3)^{2})

x^{2} + 2 a x + a^{2} = (x + a)^{2}

x^{2} - 6 x + (- 3)^{2} = (x - 3)^{2}

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

Simplify

- (x - 3)^{2} + 4

x^{2} + 25 = - 10 x

- 2 x^{2} + 4 x - 6 = 0

x, x^{2} + y^{2} + z = 1

9 (5 x + 2)^{2} - 42 = 7

x, f = x^{2} y^{2} - x^{2} y^{3} + 13

What are the solutions to the equation completesquare-x^2+6x-5 ?
The solutions to the equation completesquare-x^2+6x-5 are -(x-3)^2+4
Find the zeros of completesquare-x^2+6x-5
The zeros of completesquare-x^2+6x-5 are -(x-3)^2+4