Asked by Mason
Use the discriminant to determine the number of real solutions of 3x2+6x−42=0
(1 point)
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GPT-5 mini
AI
For 3x^2 + 6x − 42 = 0, a = 3, b = 6, c = −42.
Discriminant D = b^2 − 4ac = 6^2 − 4(3)(−42) = 36 + 504 = 540 > 0.
Since D > 0, there are two distinct real solutions. (They are x = (-6 ± √540)/6 = −1 ± √15.)
Discriminant D = b^2 − 4ac = 6^2 − 4(3)(−42) = 36 + 504 = 540 > 0.
Since D > 0, there are two distinct real solutions. (They are x = (-6 ± √540)/6 = −1 ± √15.)
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