discriminant and nature of roots

Without solving the quadratic equation, the nature of the roots can be determined using the discriminant. i) D >0 i.e., positive and not a perfect square. The roots are real and distinct (irrational). ii) D >0 i.e., perfect square. The root..

Without solving the quadratic equation, the nature of the roots can be determined using the discriminant. i) D >0 i.e., positive and not a perfect square. The roots are real and distinct (irrational). ii) D >0 i.e., perfect square. The roots a..

Differences between a Dicot root and a dicot stem - Characters Dicot stem Dicot Root 1. Epidermis a. Nature of the cells Thick walled Thin walled b. Epidermal hairs Present, multi cellular trichomes Present, unicellular root hairs c. Cuticle Present Absent d...

Introduction - The Environment is everything which surrounds an organism and influences its life in many ways. It includes physical and biological components. The physical components of the environment are soil, water, air, light and temperature. These are termed as abiotic components. The plants a..

Characters Monocot stem Monocot Root 1.Epidermis a.Nature of the cells Thick walled Thin walled b.Epidermal hairs Absent Present, unicellular root hairs c.Stomata Present Absent 2. Hypodermis Present, made up of sclerench..

Use the discriminant to find the nature of the solutions of the given quadratic equation. 10 x 2 + 8 x + 9 = 0 => two real, irrational, unequal numbers or two complex conjugate numbers or two real, rational, unequal numbers or one real, rational number (double)..

Use the discriminant to find the nature of the solutions of the given quadratic equation. 16 x 2 - 56 x + 49 = 0 => two real, rational, unequal numbers or two real, irrational, unequal numbers or two complex conjugate numbers or real and rational number (double)..

Use the discriminant to find the nature of the solutions of the given quadratic equation. - x 2 + 5 x + 10 = 9 => two real, irrational, unequal numbers or two complex conjugate numbers or two real, rational, unequal numbers or one real, rational number (double)..

Use the discriminant to find the nature of the solutions of the given quadratic equation. ( x - 13)( x - 7) + 9 = 0 => two real, irrational, unequal numbers or one real, rational number (double) or two complex conjugate numbers or two real, rational, unequal numbers..

Determine the nature of roots of the equation ( a 2 + b 2 ) x 2 - 2 b ( a+c ) x + ( b 2 + c 2 ) = 0 if a , b , c are in GP. => Negative and distinct or Positive and distinct or Imaginary or Real and equal..