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mixer [17]
3 years ago
6

If the discriminant is 16 in a quadratic equation what is true about its solutions

Mathematics
1 answer:
olganol [36]3 years ago
8 0
If the discriminant is a positive number, there will be 2 possible solutions. If you replace the entire section of b²-4ac with 16, you will see that the equation becomes; (-b+-√16)/2a --> leading to an answer with the + and another with the -. 

If the discriminant is 0, there will be 1 possible solution, (again replace this into the discriminant value) (-b)/2a ---> this formula is used to also find the x coordinates of a vertex, fyi. 

If the discriminant is a negative number, there will be no solution (since squareroot of a negative number is not possible) 

Hope I helped :) 
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Answer:

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<em><u>Preliminary Remark</u></em>

If a cubic is tangent to the x axis at 0,0

Then the equation must be related to y = a*x^2(x - h)

<em><u>(3,0)</u></em>

If the cubic goes through the point (3,0), then the equation will become

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<em><u>From the second point, we get</u></em>

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<em><u>Answer</u></em>

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