the discriminant is 36+4*7*3 = 120
what does that tell you?
how many real-number solutions does the equation have
0 = -7x^2 + 6x + 3
A. One solution
B. Two solutions
C. No solutions
D. Infinite solutions
3 answers
Erm, one solution?
NO -- stop guessing
The discriminant is called that, because it allows you to discriminate the roots.
For a discriminant of D, recall that x = (-b±√D)/2a
If D=0, there is only one real root (well, two, but they are the same, since you have -b±0)
If D>0 there are two real roots
if D<0 there are two complex roots and no real roots.
All this is there in your book, right?
The discriminant is called that, because it allows you to discriminate the roots.
For a discriminant of D, recall that x = (-b±√D)/2a
If D=0, there is only one real root (well, two, but they are the same, since you have -b±0)
If D>0 there are two real roots
if D<0 there are two complex roots and no real roots.
All this is there in your book, right?
1 answer