SOLUTION: find the determinant; identify nature of the roots; if D=0 or D>0, find the roots.
1. 4x^2=12x-9
2. 6x^2-x-2=0
3. 52/x - 5.2(x+5) =52
4. 1+ x^2
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Quadratic Equations and Parabolas
-> SOLUTION: find the determinant; identify nature of the roots; if D=0 or D>0, find the roots.
1. 4x^2=12x-9
2. 6x^2-x-2=0
3. 52/x - 5.2(x+5) =52
4. 1+ x^2
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Question 1052778: find the determinant; identify nature of the roots; if D=0 or D>0, find the roots.
1. 4x^2=12x-9
2. 6x^2-x-2=0
3. 52/x - 5.2(x+5) =52
4. 1+ x^2 Answer by ikleyn(52778) (Show Source):
1. To write it in the general form = 0.
2. To calculate the discriminant D = .
3. If D > 0 then the equation has two different real roots.
If D = 0, then the equation has only one real root.
If D < 0, then the equation does not have real roots.
Instead, it has two complex roots.
Do not try to shift your work to our shoulders.
Do it yourself.
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And the last note: what you called "determinant" in your post, is actually "discriminant".