-3x² + 6x = -5
-3x² + 6x + 5 = 0
x² - 2x - 5/3 = 0 [Standard form]
Ugly. Time for the quadratic formula.
(-b±√(b²-4ac))/2a
(2±√(4+20/3))/2
1±√(2+10/3)
1±√(16/3)
From what i understand the equation is like this; (3 * 2 ) + 6x + 24 = 0 6 + 6x +24 = 0 6x = - 24 - 6 6x = - 30 x = - 5
y=(6x-5)/3
6x+5=3x+5 5=9x+5 x=0
6
6x+7 = -56x = -12x = -2
From what i understand the equation is like this; (3 * 2 ) + 6x + 24 = 0 6 + 6x +24 = 0 6x = - 24 - 6 6x = - 30 x = - 5
y=(6x-5)/3
6x+5=3x+5 5=9x+5 x=0
f(x) = 3x2 + 5x + 2fprime(x) = 6x + 5
6
6x+7 = -56x = -12x = -2
6x + 8 = 13, 6x = 13 - 8, 6x = 5, x = 5/6
-3x2 = 5 + 3x (add 3x2 to both sides)0 = 3x2 + 5 + 3x or3x2 + 3x + 5 = 0 (since the discriminant is less than zero, we have complex roots)x = [-3 ± √[(32 - 4(3)(5)]]/2(3)x = [-3 ± √(9 - 60)]/6x = (-3 ± √-51)/6x = (-3 ± i√51)/6x = (-3 + i√51)/6 = -1/2 + (√51/6)i orx = (-3 - i√51)/6 = -1/2 - (√51/6)i
x2-5-4x2+3x = 0 -3x2+3x-5 = 0 or as 3x2-3x+5 = 0
6x + 3 = 2x + 5 4x = 2 x=1/2
3x + 5 = 6x + 23 -3x = 18 x = -6
x=5