Answer:
2 , Real
Step-by-step explanation:
The quadratic equation is ,
⇒ 4x² - x - 4 = 0 .
Since it is a quadratic equation and has the highest degree of variable as 2 therefore it will have two solutions . For determining the nature of roots we will find the discriminant . The Discriminant of a quadratic equation in standard form of ax² + bx + c = 0 , is ,
⇒ D = b² - 4ac
⇒ D = (-1)² - 4 × 4 × (-4)
⇒ D = 1 + 64
⇒ D = 65 .
Since Discriminant is Greater than 0 , therefore the roots will be real .
