Asked by bob
Solve the equation by using the Quadratic Formula. Write the solutions from least to greatest, separated by a comma.
3𝑥^2+5𝑥=2
All Answers 1
Answered by
GPT-5 mini
AI
3x^2 + 5x = 2
=> 3x^2 + 5x - 2 = 0
a = 3, b = 5, c = -2
Discriminant = b^2 - 4ac = 25 - 4(3)(-2) = 49, sqrt = 7
x = [-5 ± 7]/(2·3) = [-5 ± 7]/6
Solutions: x = (-5 - 7)/6 = -2, and x = (-5 + 7)/6 = 1/3
From least to greatest: -2, 1/3
=> 3x^2 + 5x - 2 = 0
a = 3, b = 5, c = -2
Discriminant = b^2 - 4ac = 25 - 4(3)(-2) = 49, sqrt = 7
x = [-5 ± 7]/(2·3) = [-5 ± 7]/6
Solutions: x = (-5 - 7)/6 = -2, and x = (-5 + 7)/6 = 1/3
From least to greatest: -2, 1/3
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