3(x2 + 8x +16) -16 + 9 =0
3(x+4)2 -7 = 0
(x+4)2 = 7/3
x+4= ±sqrt(7/3)
x=4±sqrt(7/3)
Damien W.
asked 02/23/21Christian solved the equation 3𝑥^2 + 24𝑥+ 9 = 0 by completing the square. His partial work is shown below. Use the drop down menus to correctly complete the steps shown in his process.
3𝑥^2 + 24𝑥 + 9 = 0
3(𝑥2 + 8𝑥 + _________) + 9 _________ = 0
3(𝑥 + ____ )2 = 39
(𝑥 + _________)^2 = _________
3(x2 + 8x +16) -16 + 9 =0
3(x+4)2 -7 = 0
(x+4)2 = 7/3
x+4= ±sqrt(7/3)
x=4±sqrt(7/3)
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