If the roots of ax^2+b=0 then:A) ab>0B) a=bC) ab0, b>0?
If the roots of the equation ( ax^2 + b = 0 ) are considered, which of the following statements is true?
A) ( ab > 0 )
B) ( a = b )
C) ( ab < 0 ), ( b > 0 )
3 Answers
The question is not clear. You have to explain exactly what you want to do with this. However, looking at those options, I’m guessing that the required answer is C.
If ax² + b = 0, and assuming this means that b is positive,
then ax² = -b
x² = -b/a
Since x² must be positive, this means that a must be negative if x² has real roots.
So ab < 0
Feb 19, 2025
If the roots of ax^2 + b = 0 are what?
Edit:
ax^2 + b = 0
x^2 = -b/a
x = ±√(-b/a)
None.
Answer is a > 0, b ≤ 0 OR a < 0, b ≥ 0
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