solve the equation -7x^2 -10= -12x. write your conjugate pair solution(s) as two values seperated by a +- sign

Answer 1

To solve the equation -7x^2 -10= -12x, we need to bring all terms to one side to set the equation equal to zero:

-7x^2 - 12x - 10 = 0.

Next, let's try to factor the quadratic equation. However, it does not factor nicely, so we will use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a),

where a = -7, b = -12, and c = -10.

Now, let's plug these values into the quadratic formula and simplify:

x = (-(-12) ± √((-12)^2 - 4(-7)(-10))) / (2(-7))
= (12 ± √(144 - 280)) / (-14)
= (12 ± √(-136)) / (-14).

Since √(-136) is not a real number, we can't get a real number as a solution to the equation. Hence, there are no real solutions to the equation -7x^2 -10= -12x.

Therefore, the conjugate pair solution(s) are not applicable in this case.