What are the solutions to the equation completesquare-3x^2-18x-26 ?

The solutions to the equation completesquare-3x^2-18x-26 are -3(x+3)^2+1

Find the zeros of completesquare-3x^2-18x-26

The zeros of completesquare-3x^2-18x-26 are -3(x+3)^2+1

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complete the square

- 3 x^{2} - 18 x - 26

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

Solution steps

- 3 x^{2} - 18 x - 26

Write

- 3 x^{2} - 18 x - 26

in the form:

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

Factor out

- 3

- 3 (x^{2} + 6 x + \frac{26}{3})

2 a = 6 : a = 3

Add and subtract

3^{2}

- 3 (x^{2} + 6 x + \frac{26}{3} + 3^{2} - 3^{2})

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

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

- 3 ((x + 3)^{2} + \frac{26}{3} - 3^{2})

Simplify

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

- 10 x^{2} + x + 21 = 0

x^{2} - 200 x + 4000 = 0

(x + 1)^{2} + (x + 2)^{2} = x^{2} + 6

28 r^{2} - 49 r = 21 r

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

What are the solutions to the equation completesquare-3x^2-18x-26 ?
The solutions to the equation completesquare-3x^2-18x-26 are -3(x+3)^2+1
Find the zeros of completesquare-3x^2-18x-26
The zeros of completesquare-3x^2-18x-26 are -3(x+3)^2+1