Question

Identify the solutions of 3x2-x-4=0

Answer 1

The solutions would -1 and 4/3

Answer 2

3x^2 - x - 4 = 0
(3x-4)(x+1) = 0
x = -1, 4/3

Answer 3

Multiply 3 and the -4 which equals -12.
Then find factors of -12 that will add together to make -x then split the -x up.
Rewrite the equation ---> 3x² +3x - 4x -4 = 0
Then group terms like this (3x² +3x) - (4x -4) = 0
3x(x+1) - 4(x-1)
3x and -4 are now both being multiplied by x-1, so you can isolate that as a common factor
(x+1)(3x-4) = 0
Either x+1 = 0
or 3x-4 = 0
So your solutions are x= (-1) and x=4/3