This question is related to dicriminant of roots chapter(mathematics) . Is it same as the b(square) - 4ac larger than 0. What is the difference between them?
2007-10-15 14:36:30 · 9 answers · asked by saktish v 1 in Science & Mathematics ➔ Mathematics
b² - 4ac is called the discriminant because it discriminates what type of answer you get from using the quadratic formula.
If b² - 4ac ≥ 0 then the answers are real
(If b² - 4ac > 0 then the there are 2 real answers
and if If b² - 4ac = 0 then there is 1 real answer)
If b² - 4ac < 0 then there are 2 complex answers
2007-10-15 14:41:29 · answer #1 · answered by Marvin 4 · 2⤊ 0⤋
This discriminant determines how many real solutions there exists in a quadratic.
If b^2 - 4ac > 0 then 2 real solutions exist.
If b^2 - 4ac = 0 then 1 real solution exists.
If b^2 - 4ac < 0 then no real solution exists.
The discriminant is just the b^2 - 4ac part, not including the >,<,or = to 0 stuff.
2007-10-15 14:42:00 · answer #2 · answered by Anonymous · 1⤊ 0⤋
If the discriminant, (b^2-4ac), is greater than 0, then the quadratic has 2 solutions.
If the discriminant, (b^2-4ac), equals 0, then there is exactly 1 answer.
If the discriminant, (b^2-4ac), is less than 0, then there are exactly 2 imaginary answers.
2007-10-15 14:41:19 · answer #3 · answered by sayamiam 6 · 0⤊ 0⤋
B Squared Minus 4ac
2016-11-16 07:15:32 · answer #4 · answered by ? 4 · 0⤊ 0⤋
(b^2-4ac) is called the discriminant of a quardratic equation a*x^2+b*x+c.
If this discriminant is positive and greater than or equal to zero, you will get real roots.
b>=2*{square root of (ac)}
Take sample study for given value of a and c. Find out b.
For further reading, please go through the topic on "Quadratic Equation".
Regards,
2007-10-15 14:54:05 · answer #5 · answered by Bhatta 2 · 1⤊ 0⤋
(b^2 - 4ac) is called the discriminant in the quadratic formula.
2007-10-15 14:46:57 · answer #6 · answered by Robert S 7 · 0⤊ 0⤋
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It's allowed to be zero because the square root function allows zero.
2016-04-07 00:22:39 · answer #7 · answered by Anonymous · 0⤊ 0⤋
when the discriminant is larger than zero, than you have two unique real solutions. when the descriment is zero, you have one unique real solution.
so, when the discriminant is greater than or equal to zero, you have at least one real solution.
2007-10-15 14:41:58 · answer #8 · answered by Anonymous · 0⤊ 0⤋
r u referring to the quadratic formula
2007-10-15 14:40:42 · answer #9 · answered by 1hayhay72 2 · 0⤊ 2⤋