Final answer:
The other solution to the equation 6n²+2n−4=0 is -1.
Step-by-step explanation:
To find the other solution to the equation 6n²+2n−4=0, we can use the fact that for any quadratic equation in the form ax²+bx+c=0, the solutions can be found using the quadratic formula: x = (-b ± √(b²-4ac))/2a. In this case, a = 6, b = 2, and c = -4. Plugging in these values, we get:
x = (-2 ± √(2²-4*6*-4))/(2*6)
Simplifying this further, we get:
x = (-2 ± √(4+96))/12
x = (-2 ± √100)/12
x = (-2 ± 10)/12
Therefore, the two solutions are:
x = (-2+10)/12 = 8/12 = 2/3
x = (-2-10)/12 = -12/12 = -1