Question

Solve 3x to the
second power
-2x-8=0 using an algebraic method

Answer 1

`x=2\textrm{ or } x=-(4)/(3)`

Explanation:

Given:

The equation is given as:

`3x^(2)-2x-8=0\\3x^(2)-6x+4x-8=0\\3x(x-2)+4(x-2)=0\\(x-2)(3x+4)=0\\\\x-2=0\textrm{ or }3x+4=0\\x-2+2=0+2 \textrm{ or }3x+4-4=0-4\\x=2\textrm{ or }3x=-4\\x=2\textrm{ or}\\x=-(4)/(3)`

Therefore, the possible values of
`x` are 2 and
`-(4)/(3)`