What are the solutions to the equation completesquare-3x^2+24x-50 ?

The solutions to the equation completesquare-3x^2+24x-50 are -3(x-4)^2-2

Find the zeros of completesquare-3x^2+24x-50

The zeros of completesquare-3x^2+24x-50 are -3(x-4)^2-2

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complete the square

- 3 x^{2} + 24 x - 50

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

Solution steps

- 3 x^{2} + 24 x - 50

Write

- 3 x^{2} + 24 x - 50

in the form:

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

Factor out

- 3

- 3 (x^{2} - 8 x + \frac{50}{3})

2 a = - 8 : a = - 4

Add and subtract

(- 4)^{2}

- 3 (x^{2} - 8 x + \frac{50}{3} + (- 4)^{2} - (- 4)^{2})

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

x^{2} - 8 x + (- 4)^{2} = (x - 4)^{2}

- 3 ((x - 4)^{2} + \frac{50}{3} - (- 4)^{2})

Simplify

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

7 x^{2} + 2 x - 9 = 0

(a - \frac{2}{3})^{2} = 13

x^{2} + 196 x - 710 = 0

x^{2} + 3 = x + 3

x^{2} - 4 a x - b^{2} + 4 a^{2} = 0

What are the solutions to the equation completesquare-3x^2+24x-50 ?
The solutions to the equation completesquare-3x^2+24x-50 are -3(x-4)^2-2
Find the zeros of completesquare-3x^2+24x-50
The zeros of completesquare-3x^2+24x-50 are -3(x-4)^2-2