What are the solutions to the equation completesquare 6x-x^2-7 ?

The solutions to the equation completesquare 6x-x^2-7 are -(x-3)^2+2

Find the zeros of completesquare 6x-x^2-7

The zeros of completesquare 6x-x^2-7 are -(x-3)^2+2

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complete the square

6 x - x^{2} - 7

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

Solution steps

6 x - x^{2} - 7

Write in the standard form

a x^{2} + b x + c

- x^{2} + 6 x - 7

Write

- x^{2} + 6 x - 7

in the form:

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

Factor out

- 1

- (x^{2} - 6 x + 7)

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

- (x^{2} - 6 x + 7 + (- 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} + 7 - (- 3)^{2})

Simplify

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

5 x^{2} + 28 x - 12 = 0

(x + 2) (x + 4) = 6 x^{2}

2 x^{2} + 29 = 15 x

4 k^{2} - 1 = 63

5 x^{2} - 9 = 6

What are the solutions to the equation completesquare 6x-x^2-7 ?
The solutions to the equation completesquare 6x-x^2-7 are -(x-3)^2+2
Find the zeros of completesquare 6x-x^2-7
The zeros of completesquare 6x-x^2-7 are -(x-3)^2+2