Question

Use the quadratic formula to determine the exact solutions to the equation
6x^2 + 4x - 3 = 0

Answer 1

To solve quadratics, the most correct and effective way, in my opinion, is the quadratic formula:


`{\displaystyle x={\frac {-b\pm {\sqrt {b^(2)-4ac}}}{2a}}.}`

Plugging it in, we get:


`(-4\pm √(16+72) )/(12) = (-4\pm 2√(22))/(12) = (-2\pm √(22) )/(6)`

So the final answer is:


`( √(22)-2 )/(6)` and
`(-2- √(22) )/(6)`