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1.. If a discriminant is Equal to Zero, what are the roots?

2. If a discriminant is greater than zero and is a perfect square , what are the roots?
3. If a discriminant is greater than zero but not a perfect square, what are the roots?
4. If the discriminant is less than zero, what are the roots?
5. State the value of the discriminant for each equation. Determine the Nature of Roots.
a. x^2+3x+1=0
b. y^2+7y+6=0
c. p^2-10p+12=0



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1) The roots are real, equal numbers.
2) The roots are distinct rational numbers.
3) The roots are distinct irrational numbers.
4) The roots are distinct unreal numbers.
5) discriminant = b² -4ac

a.)    d = 3³ -4(1)(1) = 5            : Roots are distinct and irrational
b)     d = 7² - 4(1)(6) = 25         : Roots are distinct and rational
c)     d = -10² -4(1)(12) = 52      :Roots are distinct and irrational
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