Answer:
1. x²-4x+4=0
Discriminant = b²-4ac
=(-4)² -4(1)(4)
=16 -16
=0
Nature of roots: Real,rational and equal
2. x²+13x+42=0
Discriminant =b²-4ac
=(13)²-4(1)(42)
=169-168
=1
Nature of roots: Real,rational and not equal
3.x²+7x+13=0
Discriminant=b²-4ac
=(7)²-4(1)(13)
=49-52
=-3
Nature of roots:No real roots
4.x²+3x+8=0
(3)²-4(1)(8)
=9-32
=-23
NOR:No real roots
5.2x²-9x-8=0
Dis. =b²-4ac
(-9)² -4(2)(-8)
81-64
17
NOR :Real,irrational and not equal
6.2x²+6x+4
Discriminant=4
NOR :Real,rational and not equal
7.3x²-7x=-4
Disriminant= 1
NOR: Real, rational and not equal
8.5x²-7x=-6
Discriminant = -120
NOR: No real roots
9.10x²-4x=12
Discriminant =496
NOR:Real,irrational and not equal
10.x²-9x+2=0
Discriminant= 73
NOR: Real,irrational and not equal
Step-by-step explanation:
Dis. - it mean Discriminant
NOR - it mean Nature of roots
( i hope it will help u)
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Answers & Comments
Answer:
1. x²-4x+4=0
Discriminant = b²-4ac
=(-4)² -4(1)(4)
=16 -16
=0
Nature of roots: Real,rational and equal
2. x²+13x+42=0
Discriminant =b²-4ac
=(13)²-4(1)(42)
=169-168
=1
Nature of roots: Real,rational and not equal
3.x²+7x+13=0
Discriminant=b²-4ac
=(7)²-4(1)(13)
=49-52
=-3
Nature of roots:No real roots
4.x²+3x+8=0
Discriminant =b²-4ac
(3)²-4(1)(8)
=9-32
=-23
NOR:No real roots
5.2x²-9x-8=0
Dis. =b²-4ac
(-9)² -4(2)(-8)
81-64
17
NOR :Real,irrational and not equal
6.2x²+6x+4
Discriminant=4
NOR :Real,rational and not equal
7.3x²-7x=-4
Disriminant= 1
NOR: Real, rational and not equal
8.5x²-7x=-6
Discriminant = -120
NOR: No real roots
9.10x²-4x=12
Discriminant =496
NOR:Real,irrational and not equal
10.x²-9x+2=0
Discriminant= 73
NOR: Real,irrational and not equal
Step-by-step explanation:
Dis. - it mean Discriminant
NOR - it mean Nature of roots
( i hope it will help u)