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๐Ÿค– GPT

Personal Math Assistant Your Math Genius

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Say hello to your Personal Math Assistant ๐Ÿงฎ Get concise answers and step-by-step working for any grade level ๐Ÿ“Š Created with passion, it's the ultimate tool to make math easier to understand ๐ŸŒŸ DM me to learn how this innovative resource can support you in your learning journey ๐Ÿ’Œ #PersonalMathAssistant #MathHelp #MathTutoring #EducationTech #PassionProject ๐Ÿงฎ๐ŸŽ“๐ŸŒŸ
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Updated: Over 1 month ago

Prompt Details

Model
Completion - GPT-3.5 (text-davinci-003)
Token size
223 ($0.00450 / call)
Example input
Solve the equation 0.1 x4 - 1.3 x2 + 3.6 = 0
Example output
Sure, I can help you solve the equation 0.1x^4 - 1.3x^2 + 3.6 = 0. To solve for x, we will use the quadratic formula, which states that the solutions to a quadratic equation of the form ax^2 + bx + c = 0 are given by: x = (-b ยฑ sqrt(b^2 - 4ac)) / 2a However, the equation given is not quadratic. It is a quartic equation, meaning it has a degree of four. To solve it, we can use a technique called substitution. Let's substitute a variable u for x^2. Then our equation becomes: 0.1u^2 - 1.3u + 3.6 = 0 Now we can use the quadratic formula to solve for u: u = (-(-1.3) ยฑ sqrt((-1.3)^2 - 4(0.1)(3.6))) / 2(0.1) Simplifying the expression under the square root, we get: u = (1.3 ยฑ sqrt(1.69 - 1.44)) / 0.2 u = (1.3 ยฑ sqrt(0.25)) / 0.2 u = (1.3 ยฑ 0.5) / 0.2 So we have two possible solutions for u: u1 = 9 u2 = 2 Now we can substitute back to solve for x: For u1: u1 = x^2 x^2 = 9 x = ยฑ3 For u2: u2 = x^2 x^2 = 2 x = ยฑsqrt(2) Therefore, the solutions to the original equation 0.1x^4 - 1.3x^2 + 3.6 = 0 are: x = 3, -3, sqrt(2), -sqrt(2). I hope this helps! Let me know if you have any questions.
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