Answer:
1. x^2+2x-3= 0
a=1 b=2 c=-3
d=b^2-4ac
d=2^2-4(1)(-3)
d=4+12
d=16 the domain
the nature of roots
D > 0 perfect square real rational & unequal roots
2.2x^2-x+1=0
a=2 b=-1 c=1
d=-1^2-4(2)(1)
d=1-8
d=-7 the domain
D < 0 no real roots
3.2x^2-1=0
a=2 b=0 c=-1
d=0^2-4(2)(-1)
d=0+8
d=8 the domain
D > 0 but not a perfect square real irrational & unequal roots
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Answers & Comments
Answer:
1. x^2+2x-3= 0
a=1 b=2 c=-3
d=b^2-4ac
d=2^2-4(1)(-3)
d=4+12
d=16 the domain
the nature of roots
D > 0 perfect square real rational & unequal roots
2.2x^2-x+1=0
a=2 b=-1 c=1
d=b^2-4ac
d=-1^2-4(2)(1)
d=1-8
d=-7 the domain
the nature of roots
D < 0 no real roots
3.2x^2-1=0
a=2 b=0 c=-1
d=b^2-4ac
d=0^2-4(2)(-1)
d=0+8
d=8 the domain
the nature of roots
D > 0 but not a perfect square real irrational & unequal roots