Use the discriminant to determine the number and type of solutions for the following equation. 12x2 + 10x + 5 = 0
A two irrational solutions
B one rational solution
C zero real solutions
D two rational solutions
discriminant D is given by: D=b²-4ac Implication of discriminant is as follows:
D<0 two zeros that are complex conjugate D=0 one real zero of multiplicity 2 D>0 two distinct real zers D= (+ve perfet square) two distinct rational zeros From: 12x^2+10x+5=0 plugging in the equation we get: 10²-4×12×5 =100-240 =-140 thus D<0
