Question

Solve 1 2 + 1 2x = x2 − 7x+10 4x

Answer 1

`x_1=0.14\\x_2=-85.14`

Explanation:

1. You have the following expression given in the problem above:

`12+12x=x^(2)-7x+104x`

2. Then, you need to add like terms, so you have:

`0=x^(2)+85x-12`

3. Apply the quadratic formula, as following:

`x=\frac{-b+/-\sqrt{x^(2)-4ac}}{2a}\\a=1\\b=85\\c=-12`

Then:

`x_1=0.14\\x_2=-85.14`