Question

m²+2m+9=0 Determine the nature of roots of this quadratic equation.

Answer 1

m² + 2m + 9 = 0
where, a = 1 , b = 2 , c = 9

D = b² - 4ac
D = (2)² - 4(1)(9)
D = 4 - 36
D = -32
we know if D<0 then roots are imaginary.

Answer 2

Hi ,

Compare m² + 2m + 9 = 0 with

am² + bm + c = 0 , we get

a = 1 , b = 2 , c = 9

Discreaminant ( D ) = b² - 4ac

D = 2² - 4 × 1 × 9

D = 4 - 36

D = - 32

D < 0

Therefore ,

Roots of given quadratic equation are

not real.

I hope this helps you.

: )