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Emiliano Wilkinson
5 February, 11:13
17x^3+7x^2-4x-44 how do you solve this
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Shiloh Leon
5 February, 12:43
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17x^3 + 7x^2 - 4x - 44 = 0
17x^3 + 7x^2 - 4x = 44
x (17x^2 + 7x - 4) = 44
x = 44, or complete the square on the quadratic ...
17x^2 + 7x - 4+4 = 44+4
17x^2 + 7x = 48
(17x^2 + 7x) / 17 = 48/17
x^2 + 7/17x = 48/17
(x + 7/34) ^2 - (49/1156) = (48/17) - (49/1156)
(x + 7/34) ^2 - (49/1156) + (49/1156) = (48/17) • (68/68) + (49/1156)
(x + 7/34) ^2 = (48/17) • (68/68) + (49/1156)
(x + 7/34) ^2 = (3264/1156) + (49/1156)
(x + 7/34) ^2 = (3313/1156)
(x + 7/34) ^2 = 2.866
SR [ (x + 7/34) ^2] = SR (2.866)
(x + 7/34) = + / - 1.6929
(x +.2059) = + / - 1.6929
x +.2059 = + 1.6929, and x +.2059 = - 1.6929
x +.2059 = + 1.6929--> x = 1.6929-.2059 - - > x = 1.487
x +.2059 = - 1.6929--> x = - 1.6929 + -.2059 - - > x = - 1.899
So roots or solutions are:
x = 44, x = 1.487, & x = - 1.899
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