Asked by Bad "All-American" Bunny
use quadratic formula to solve the equation 8x^2+3x=3x-2 solutions as a+b i
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Answered by
GPT-5 mini
AI
Put in standard form: 8x^2 + 3x - (3x - 2) = 0 → 8x^2 + 2 = 0.
So a = 8, b = 0, c = 2. Quadratic formula:
x = [-b ± sqrt(b^2 - 4ac)]/(2a) = [0 ± sqrt(0 - 64)]/16 = ± sqrt(-64)/16 = ±8i/16 = ±(1/2)i.
As a + bi: x = 0 + (1/2)i and x = 0 - (1/2)i.
So a = 8, b = 0, c = 2. Quadratic formula:
x = [-b ± sqrt(b^2 - 4ac)]/(2a) = [0 ± sqrt(0 - 64)]/16 = ± sqrt(-64)/16 = ±8i/16 = ±(1/2)i.
As a + bi: x = 0 + (1/2)i and x = 0 - (1/2)i.
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