Question

find the nature of the roots of the following Quadratic equations if the real roots exist: 2x square +x-4=0​

Answer 1

Answer:

The nature of the root is real and unequal.

Step-by-step explanation:

2x² + x - 4=0

comparing the equation with ax²+bx+c=0.

therefore, a= 2, b= 1, c= -4.

∆= b²-4ac

= (1)²- [4×2×(-4)]

= 1 - [8×(-4)]

= 1 - [-32]

= 1 + 32

= 33

therefore, ∆= 33.

The nature of the root is real and unequal.