Question

Solve the equation=8x-3=2/3x

Answer 1

Answer:

9/22

Step-by-step explanation:

8x-3=2/3x

8x-2/3x=3

24/3x-2/3x=3

22/3x=3

22x=3^2

22x=9

x=9/22

:)

Answer 2

$\tt SOLUTION:- \\ \\ \\ \sf 8x - 3 = \frac{2}{3x} \\ \\ \sf -3 = \frac {2}{3x} - 8x \\ \\ \sf -3 = \frac{2 - 24 x^2}{3x} \\ \\ \sf -3 \times 3x = 2 - 24 x^2 \\ \\ \sf -9x = 2 - 24 x ^2 \\ \\ \sf 24 x^2 - 9x - 2 = 0 \\ \\ \tt comparing \: with \: \: ax^2 + bx + c = 0 \\ \\ \sf \therefore a = 24, \: b = -9, \: c = -2 \\ \\ \sf x = \frac{-b + - \sqrt{b^2 - 4ac}}{2a} \\ \\ \sf x = \frac{9 + - \sqrt{(-9)^2 - 4 \times 24 \times (-2)}}{2 \times 24} \\ \\ \sf x = \frac{9 + - \sqrt{81 - (-192)}}{48} \\ \\ \sf x = \frac{9 + - \sqrt{273}}{48} \\ \\ \sf \therefore x = \frac{9 + \sqrt{273}}{48} or x = \frac {9 - \sqrt{273}}{48} \\ \\ \tt x = \frac{9 + \sqrt{273}}{48} \: or \: x = \frac {9 - \sqrt{273}}{48} \: \: is \: solution. \\ \\ \texttt{\red{Steps for solving above equation:-}} \\ \\ \sf Determine \: the \: defined \: range \\ \\ \sf multiple \: both \: the \: side \: by \: \: 3x \\ \\ \sf move \: the \: constant \: to \: the \: left \\ \\ \sf Solve \: the \: quadratic \: equation$