Question

if in a quadratic equation ax^2+bx+c=0 the values of a and c have opposite signs , the solutions of the equation are real numbers

Answer 1

So what's the question?

Answer 2

its a true or false ?

Answer 3

not necessarily true:
\[\sqrt{b ^{2}-2ac}\]
is positive, then the solutions of the equation are real numbers

Answer 4

so u saying its false

Answer 5

it can be true and it can be false, so the correct answer would be :"not necessarily true"

Answer 6

o unfortunately I just need a t/f only

Answer 7

I hope you get the concept, its what's important, and unless you have an actual expression with real numbers, then one can't simply state t/f,

Answer 8

so its leaning more on the not true side

Answer 9

\[\sqrt{b^2-4ac}\]
If a and c have opposite signs, then -4ac is always possitive.
b^2 is always positive.
So then the whole sqrt is also positive.
And that means real solutions.
Answer: TRUE

Answer 10

Makes sense?

Answer 11

ya

Answer 12

:D

Answer 13

ok can U help me with this one Compare taking a root and rising to a power. Support your observations with your own examples.