Question

3x^2-7x+4=0 solve for x. Write both solutions separated by a comma

Answer 1

$Hi \\ \\ 3x\²-7x+4 ~~--\ \textgreater \ \boxed{\frac{-b\pm \sqrt{b\²-2ac} }{2a} } \\ a=3 \\ b=-7 \\ c=4 \\ \\ x= \frac{7\pm \sqrt{(-7)\²-2.3.4 } }{2.(3)} \\ \\ x= \frac{7\pm5}{6} \begin{cases}x_1= \frac{7+5}{6}=2 \\ \\ x_2= \frac{7-5}{6}= \frac{1}{3} \end{cases} \\ \\ \therefore~(2; \frac{1}{3})$

Answer 2

3x²-7x+4=0
3x²-3x-4x+4=0
3x(x-1)-4(x-1)
(x-1)(3x-4)
x=1 x=4/3