2 x^{2}+3 x-2=0

Question

2 x^{2}+3 x-2=0

Accepted Answer

Step:1 ：Given the quadratic equation (2x^2 + 3x - 2 = 0), we can use the quadratic formula: (x = frac{-b pm sqrt{b^2 - 4ac}}{2a}), where (a = 2), (b = 3), and (c = -2)Step:2 ：Calculate the discriminant: (Delta = b^2 - 4ac = 25)Step:3 ：Find the two possible values for x: (x_1 = frac{-3 + sqrt{25}}{4} = 0.5) and (x_2 = frac{-3 - sqrt{25}}{4} = -2.0)Step:4 ：boxed{text{Final Answer: } x = 0.5 text{ and } x = -2.0}

Answer

Step: 1 ：Given the quadratic equation (2x^2 + 3x - 2 = 0), we can use the quadratic formula: (x = frac{-b pm sqrt{b^2 - 4ac}}{2a}), where (a = 2), (b = 3), and (c = -2)Step: 2 ：Calculate the discriminant: (Delta = b^2 - 4ac = 25)Step: 3 ：Find the two possible values for x: (x_1 = frac{-3 + sqrt{25}}{4} = 0.5) and (x_2 = frac{-3 - sqrt{25}}{4} = -2.0)Step: 4 ：boxed{text{Final Answer: } x = 0.5 text{ and } x = -2.0}

$2 x^{2}+3 x-2=0$

Answer

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