This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Write the given equation. The equation from the image is: 3x + x^2 = 64 Step 2: Rearrange the equation into standard quadratic form ax^2 + bx + c = 0. Subtract 64 from both sides and reorder the terms: x^2 + 3x - 64 = 0 Step 3: Identify the coefficients a, b, c. For the equation x^2 + 3x - 64 = 0: a = 1 b = 3 c = -64 Step 4: Apply the quadratic formula. The quadratic formula is x = -b ± sqrt(b^2 - 4ac)2a. Substitute the values of a, b, c: x = -3 ± sqrt(3^2 - 4(1)(-64))2(1) Step 5: Simplify the expression. Calculate the terms inside the square root: x = -3 ± sqrt(9 + 256)2 x = -3 ± sqrt(265)2 The two possible values for x are: x_1 = -3 + sqrt(265)2 x_2 = -3 - sqrt(265)2 The exact values for x are -3 ± sqrt(265)2. Send me the next one 📸