Question

Find the roots of the quadratic equation 3x square+2x-1=0, by using the quadratic formula and the nature of the roots?​

Answer 1

Explanation:

statement should should read a quadratic equation with real coefficients can't have only one imaginary root. The reason being in x2+ax+c=0 x 2 + a x + c = 0 because −a is sum of the roots and c is product of the roots. But a & c are both real numbers, that is impossible if only one of the roots were imaginary

Answer 2

Answer:

using the quadratic formula -b+- root b^2-4ac/2a

Explanation:

taking b=2 a=3 c=-1

-2+minus root (2)^2-4*3*-1/2*3

-2+minus root 4+12/2*3

-2+mins root 16/2*3

root 16 is 4

-2 + minus 4/6

that is -2-4/6 and -2+4/6

ie -6/6 and 2/6

Answer the roots are -1 and 1/3 ...nature of the roots is real and distinct