What are the solutions to the equation completesquare-x^2-16x-65 ?

The solutions to the equation completesquare-x^2-16x-65 are -(x+8)^2-1

Find the zeros of completesquare-x^2-16x-65

The zeros of completesquare-x^2-16x-65 are -(x+8)^2-1

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complete the square

- x^{2} - 16 x - 65

- (x + 8)^{2} - 1

Solution steps

- x^{2} - 16 x - 65

Write

- x^{2} - 16 x - 65

in the form:

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

Factor out

- 1

- (x^{2} + 16 x + 65)

2 a = 16 : a = 8

Add and subtract

8^{2}

- (x^{2} + 16 x + 65 + 8^{2} - 8^{2})

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

x^{2} + 16 x + 8^{2} = (x + 8)^{2}

- ((x + 8)^{2} + 65 - 8^{2})

Simplify

- (x + 8)^{2} - 1

4. 5^{2} + 3. 5^{2} = x^{2}

5 x^{2} - 15 x + 50 = 0

2 x^{2} + 7 x - 4 = 0

6 - 5 a^{2} = - 6 a + 4

A = - 5 x^{2} + 78 x + 21

What are the solutions to the equation completesquare-x^2-16x-65 ?
The solutions to the equation completesquare-x^2-16x-65 are -(x+8)^2-1
Find the zeros of completesquare-x^2-16x-65
The zeros of completesquare-x^2-16x-65 are -(x+8)^2-1