Question

What is the nature of the roots of the quadratic equation 2m² -3m -4=0? *


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Answer 1

Answer:

• The possible value of tha variables which satisfy the equation are called its roots or solution .
• The discriminate of the quadric equation. Ax^2 + Bx + C = 0 is given by D = B^2 - 4AC
• If D > 0 then the roots are real and distinct
• If D = 0 then the roots are real and equal
• If D < 0 then the roots are imaginary

Step-by-step explanation:

2m^2 - 3m - 4 = 0

A = 2 , B = - 3 , C = - 4

D = (-3)^2 - 4×2×(-4)

= 9 + 32

= 41 >0 then roots are real and distinct