Hello from MrBillDoesMath!
Answer: -.28 and -2.72
Discussion:
This is a quadratic equation (where a = 4, b +12, and c = 3 using the standard notation involved in the solution)
4x^2 + 3= -12x => (given). Add 12x to both sides
4x^2 + 12x + 3 = 0.
From the quadratic formula:
x = ( -12 +\- sqrt ( 12^2 - 4(4)(3) ) )/ (2 * 4)
x = ( -12 +\- sqrt (144 -48))/ (2 * 4)
x = ( -12 +\- sqrt (96)) / (2 * 4)
x = ( -12 +\- sqrt(16*6) ) / (2 * 4)
The "+" solution, x = -12/8 + ( 4 /8)sqrt(6) = -3/2 + 1/2 (sqrt(6)) = -.28
The "-" solution x = -12/8 - ( 4 /8)sqrt(6) = -3/2 - 1/2 (sqrt(6)) = -2.72
Regards,
MrB
