jayda 2 years ago Evaluate the discriminant of 25x2 + 350x + 49 = 0. Tell how many solutions the equation has and whether the solutions are real or imaginary. A. one real solution B. two imaginary solutions C. two real solutions D. cannot be determined

1. NotTim

wat u think first

2. jayda

i honestly dont have a clue! ha

3. NotTim

oh shoot i forgot too. wats discriminant

4. jayda

i really dont know

5. binarymimic

$x = \frac{ -b \pm \sqrt{b^{2} - 4ac} }{ 2a }$ the discriminant is $\sqrt{b^{2} - 4ac}$ because it can be used to discriminate between solutions.

6. NotTim

oh. that's relatively simple then. Here's a hint: ax^2-bx-c=0 (minus sign is just there; it doesn't matter). works in conjunction with binarymimic's comment.

7. AccessDenied

The discriminant is actually a bit simpler, it's the radicand of that expression: $$b^2 - 4ac$$ It is useful because the sign on it tells us whether there is a positive number or negative number under the radical. In the case of a positive, we have two real roots. In the case of a negative, we have two imaginary / complex roots. If we have 0, then we have a single root that is repeated. ((-b +- 0) / (2a))

8. ParthKohli

Actually, the discriminant is just $$b^2 - 4ac$$.

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