Question

Solve by formula Methed y3+1/3 y=2​

Answer 1

Step-by-step explanation:

$3y + \frac{1}{3} y = 2 \\ \\ 3y + \frac{1}{3} y - 2 = 0 \\ \\ multiply \: above \: equation \: by \: 3 \\ \\ 3 \times 3y + 3 \times \frac{1}{3} y - 3 \times 2 =0 \\ \\ 6y + y - 6 = 0 \\ \\ a = 6 \\ \: b = 1 \\ c = - 6 \\ \\ b {}^{2} + 4ac \\ \: \\ 1 {}^{2} + 4(6)( - 6) \\ \\ 1 + 24( - 6) \\ \\ 1 - 144 \\ \\ 143 \\ \\ x = \frac{ - b + - \sqrt{b {}^{2} + 4ac } }{2a} \\ \\ x = \frac{ - 1 + - \sqrt{143} }{2a} \\ \\ x = \frac{ - 1 + - \sqrt{143} }{2 \times 6} \\ \\ x = \frac{ - 1 + - \sqrt{143} }{12} \\ \\ x = \frac{ - 1 + \sqrt{143} }{12} \: \: \: or \: \: \: x = \frac{ - 1 - \sqrt{143} }{12}$