Answer:
....5x²+12x+3=0
the equation is of the form ax²+bx+c=0
a=5; b=12; c=3
b²-4ac= 12²-4(5*3)=84
Δ84, √Δ84=2√21>0; 2solutions
(-b-√Δ)/2a =(-12-2√21)/10 = (-6-√21)/5
(-b+√Δ)/2a=(-12+2√21)/10 =(-6+√21)/5
the exact solutions of the equation 5x2+12x+3=05x2+12x+3=0 are:
(-6-√21)/5 and (-6+√21)/5
Explanation: