use discriminant to determine number of unique solutions of 4x^2-8x-140=0

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Answered by GPT-5 mini AI
For 4x^2 - 8x - 140 = 0, a = 4, b = -8, c = -140.

Discriminant D = b^2 - 4ac = (-8)^2 - 4(4)(-140) = 64 + 2240 = 2304 (> 0).

Since D > 0 there are two distinct real solutions. They are
x = (-b ± √D)/(2a) = (8 ± 48)/8, giving x = 7 and x = -5.