Question

discuss the nature roots of 4x² - x - 2=0
plz tell this answer​

Answer 1

Answer:

Step-by-step explanation:

4x^2 - x = 2

x^2 - x = 2/4 = 1/2

x^2 = x/2

x =√(x/2)

x= √x/1.41

Answer 2

Answer:

Nature of Roots: Real and Distinct

Step-by-step explanation:

$4x^2-x-2=0$

On comparing with general quadratic equation $ax^2+bx+c=0$,

$a=4\\b=-1\\c=-2$

The nature of a quadratic equation is given by discriminant,

where Discriminant, $D=b^2-4ac$

If $D>0$, then Real and Distinct Roots,

If $D=0$, then Real and Equal Roots, &

If $D<0$, then Imaginary Roots.

for the given equation

$D=(-1)^2-4(4)(-2)=1+32=33$,

As $33>0$

Thus, $D>0$

Real and Distinct Roots.