Answer:
1.) x²-2x+4
discriminant formula: b²-4ac
a=1, b= -2, c=4
by substitution;
d = b²-4ac
d = (-2)²-4(1)(4)
d = 4 -16
d = -12
since d is negative we can say that d<0
discriminant: -12
nature of the roots: roots are imaginary
2.) discriminant: 100
nature of the roots: roots are real but not equal
3.) discriminant: -3
4.) discriminant: -23
5.) discriminant: 53
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Answer:
1.) x²-2x+4
discriminant formula: b²-4ac
a=1, b= -2, c=4
by substitution;
d = b²-4ac
d = (-2)²-4(1)(4)
d = 4 -16
d = -12
since d is negative we can say that d<0
discriminant: -12
nature of the roots: roots are imaginary
2.) discriminant: 100
nature of the roots: roots are real but not equal
3.) discriminant: -3
nature of the roots: roots are imaginary
4.) discriminant: -23
nature of the roots: roots are imaginary
5.) discriminant: 53
nature of the roots: roots are real but not equal