Question

How many solutions can be found for the linear equation?
6(3x 2+4)10 = 1/2(4x+16)

Answer 1

1 solution.

Explanation:

Expanding the given linear equation.

`6(3x^2+4)10 = 1/2(4x+16)\\\hfill\\180x^2+240=2x+8\\\hfill\\\\180x^2-2x+232=0`

Divide everything by 2.

`90x^2-x+116=0`

Here, you would use the quadratic formula and see that there is only one solution, however, it is not a real solution.