Resolver as seguintes equações: a) 8x^4 = b) 10x^5 = - c) 8x^7 = + d) 7x^2 - 3x = - e) 12x^4 - x^2 + 16x = + f) x^5 + 27x^3 - 8x^2 = - g) 4/3x^2 = ...

a) 8x^4 = 0 x = 0 b) 10x^5 = -1 x = -1/10^(1/5) c) 8x^7 = 0 x = 0 d) 7x^2 - 3x = -1 x = (-(-3) ± √((-3)^2 - 4(7)(-1))) / (2(7)) x = (3 ± √(97)) / 14 e) 12x^4 - x^2 + 16x = 0 x = 0 ou x = (-16 ± √(16^2 - 4(12)(-1)))/(2(12)) x = 0 ou x = (-4 ± √13)/6 f) x^5 + 27x^3 - 8x^2 = 0 x^2(x^3 + 27x - 8) = 0 x = 0 ou x = (1/3)∛(4 - 27x) g) 4/3x^2 = 3 x^2 = 9/4 x = ±3/2 h) 10/x^3 = 4/1 x^3 = 10/4 x = ∛(5/2) i) (3x^4 + 5x^2 - 4) + (2x^4 - 9x^2 + 4) = 0 5x^4 - 4x^2 = 0 x^2(5x^2 - 4) = 0 x = 0 ou x = ±2/√5 j) (5x^4 + 10x^2 - 7) - (5x^2 - 3x^4 + 2) = 0 2x^4 + 5x^2 - 9 = 0 x^2 = (-5 ± √(5^2 - 4(2)(-9))) / (2(2)) x^2 = (-5 ± √61) / 4 x = ±√((-5 ± √61) / 4) k) (1/4)x^2 - (36/5)x + 12 = 0 x^2 - (144/5)x + 48 = 0 x = (144/10 ± √((144/10)^2 - 4(1)(48))) / (2(1)) x = (72/5 ± √(1296/25)) / 2 x = (36/5 ± 12/5√2) l) (6/x^5) + (9/x^9) - (5/x^3) + (4/x) = 0 (6x^5 + 9 - 5x^8 + 4x^4) / x^9 = 0 6x^5 + 4x^4 - 5x^8 + 9 = 0 x^4(4x^4 + 6) - 5x^8 + 9 = 0 x^4(4x^4 + 6) = 5x^8 - 9 x^8(4x^4 + 6)^2 = (5x^8 - 9)^2 x^8(16x^8 + 48x^4 + 36) = 25x^16 - 90x^8 + 81 16x^16 + 48x^12 + 36x^8 - 25x^16 + 90x^8 - 81 = 0 -9x^16 + 48x^12 + 126x^8 - 81 = 0 x^8(-9x^8 + 48x^4 + 126) - 81 = 0 x^8(48x^4 - 9x^8 + 126) = 81 x^8(9x^8 - 48x^4 - 126) = -81 x^4(9x^8 - 48x^4 - 126) = -9