Quadratic formula : -[b+-sqrt { (b^2) - 4ac }] / 2a
Replacing values, we get
-[1+-(1-4(12))] / 2
=-(1+-(1-48)) /2
=-(1+-(-47)) /2
So we get two equations:
a= -(1-47)/2
=-(-46)/2
= 46/2
=32
b= -(1+47)/2
=-48/2
=-24
7.80 because it’s is a number everyone know
Solve for x over the real numbers:
-3 x^2 + 16 x + 12 = 0
The left hand side factors into a product with three terms:
-(x - 6) (3 x + 2) = 0
Multiply both sides by -1:
(x - 6) (3 x + 2) = 0
Split into two equations:
x - 6 = 0 or 3 x + 2 = 0
Add 6 to both sides:
x = 6 or 3 x + 2 = 0
Subtract 2 from both sides:
x = 6 or 3 x = -2
Divide both sides by 3:
Answer: | x = 6 or x = -2/3
