Question

Determine the nature of the root of the quadratic from it's discriminant 2x²-3x-4=0​

Answer 1

Answer:Nature of roots : Real and distinct

Step-by-step explanation:

The given quadratic equation is ;

2x² + 3x - 4 = 0 .

Comparing with the general form of the quadratic equation ax² + bx + c = 0 , we have ;

a = 2 , b = 3 , c = -4

Now,

The discriminant of the given quadratic equation will be given as ;

=> D = b² - 4ac

=> D = 3² - 4×2×(-4)

=> D = 9 + 32

=> D = 41

=> D > 0

Clearly,

The discriminant of the given quadratic equation is greater than zero .

Thus,

Its roots will be real and distinct .

Answer 2

Answer:

Quadratic equation =2x²–3x–4=0

D= discriminant or b²–4ac

D=(–3) –4(2)(4)

D=9+32

D=41

nature of root is,

D>0. roots are real and unequal