Question

How to answer 6x+19x+4=2x-1 with the quadratic formula

Answer 1

The correct equation is:
6x² + 19x+ 4 = 2x -1

The general form of the quadratic equation is:
ax² + bx + c = 0

We need to put our equation in general form:
6x² + 19x+ 4 = 2x -1
6x² + 19x+ 4 - 2x +1 = 0
6x² + 17x + 5 = 0

By comparing our equation with the general form, we would find that:
a = 6
b = 17
c = 5

Now, to get the solution, we will substitute with the values of a, b and c in the quadratic formula shown in the attached image

This will give us the following solutions:
either x =
`(-17+ √((17)^2-4(6)(5)) )/(2(6)) = (-1)/(3)`
or x =
`(-17- √((17)^2-4(6)(5)) )/(2(6)) = (-5)/(2)`

Hope this helps :)