Question

Without determing the roots,comment on nature of roots of the following equation.
3x^2-7x-2=0​

Answer 1

Answer: Real and unequal roots

Step-by-step explanation:

We can comment on the nature of roots of a quadratic equation ax^2+bx+c without determining them by finding its discriminant, that is, D=b^2-4ac wherein, if D>0 ---roots are real and unequal ; if D=0---roots are real and equal & if D<0---roots are imaginary(complex)

In your question:

3x^2-7x-2=0

D=(-7)^2-4(3)(-2)

  =49+24

  = 73

Thus D>0 so roots are real and unequal.