Question

X2-4x-32 What things cannot be observed from this quadratic form?

Answer 1

The roots of this quadratic equation are real and unequal

Explanation:

Given quadratic equation is x²-4x-32

Now to check the nature of this quadratic we have to find the discriminant

D = b²-4ac ,

For real numbers a,b,c

if D=0 then root are real and equal

D>0 then roots are real and unequal

D<0 then roots are imaginary

Now from given equation

x²-4x-32 here a=1 , b=-4 , and c=-32

so D=b²-4ac

D=(-4)²-4(1)(-32)

D=16+128

D=144

so, here D>0

Hence we can say that the given quadratic equation is Real and unequal