Factor the quadratic expression WITH FORMULA 6x^2 - x - 12=0

Question

asked Mar 19, 2023 42.2k views

1 Answer

Lav · Answer 1 · 2023-03-24T18:21:56+0000

Recall that the quadratic formula states that the solutions to the equation:

are:

$x=(-b\pm√(b^2-4ac))/(2a).$

Therefore the solutions to the given equation are:

$x=(-(-1)\pm√((-1)^2-4(6)(-12)))/(2(6)).$

Simplifying the above result we get:

$x=(1\pm√(1+288))/(12)=(1\pm√(289))/(12)=(1\pm14)/(12).$

Then the solutions to the given equation are:

$x=(1-14)/(12)=-(13)/(12)\text{ and x=}(1+14)/(12)=(15)/(12)=(5)/(4).$

Answer:

$x=-(13)/(12)\text{ and }x=(5)/(4).$