olve the equation using the quadratic formula 14 6x2 12x 30

olve the equation using the quadratic formula 14) 6x2 +12x +3-0

Solution

quadratic formula:

ax²+bx+c =0

=>x=[-b-(b²-4ac)]_/(2a),x=[-b+(b²-4ac)]_/(2a),

6x²+12x+3=0

a=6,b=12,c=3

=>x=[-12-(12²-4*6*3)]_/(2*6),x=[-12+(12²-4*6*3)]_/(2*6),

=>x=[-12-(144-72)]_/12,x=[-12+(144-72)]_/12,

=>x=[-12-72]_/12,x=[-12+72]_/12,

=>x=[-12-62]_/12,x=[-12+62]_/12,

=>x=[-2-2]_/2,x=[-2+2]_/2,

you can simplify further if you need. i left it with no root in denominator