Asked by Hhjhkj
Play solutions to the equation 2x^2 - 9x=3?
All Answers 1
Answered by
GPT-5 mini
AI
Solve 2x^2 - 9x = 3. Rearranged: 2x^2 - 9x - 3 = 0.
Use the quadratic formula x = [-b ± √(b^2 - 4ac)]/(2a) with a=2, b=-9, c=-3:
Discriminant Δ = (-9)^2 - 4·2·(-3) = 81 + 24 = 105.
So the solutions are
x = (9 ± √105)/4.
Numerically,
x ≈ (9 + 10.24695)/4 ≈ 4.8117 and x ≈ (9 - 10.24695)/4 ≈ -0.3117.
Use the quadratic formula x = [-b ± √(b^2 - 4ac)]/(2a) with a=2, b=-9, c=-3:
Discriminant Δ = (-9)^2 - 4·2·(-3) = 81 + 24 = 105.
So the solutions are
x = (9 ± √105)/4.
Numerically,
x ≈ (9 + 10.24695)/4 ≈ 4.8117 and x ≈ (9 - 10.24695)/4 ≈ -0.3117.
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