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
To solve the quadratic equation 3x^2 + 13x + 36 = 0, we will use the quadratic formula: x = -b ± sqrt(b^2 - 4ac)2a Here, a=3, b=13, and c=36. Step 1: Calculate the discriminant, = b^2 - 4ac. = (13)^2 - 4(3)(36) = 169 - 12(36) = 169 - 432 = -263 Step 2: Substitute the values into the quadratic formula. Since the discriminant is negative, there are no real solutions. The solutions will be complex numbers. x = -13 ± sqrt(-263)2(3) x = -13 ± isqrt(263)6 Step 3: Write out the two complex solutions. x_1 = -13 + isqrt(263)6 x_2 = -13 - isqrt(263)6 The solutions are: x = -13 ± isqrt(263)6 Send me the next one 📸