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
Fresh day Nqøbizithå🤍🩺, let's solve. Step 1: Simplify the square roots in the equation. sqrt(3)x^2 - sqrt(12)x = sqrt(27) We can simplify sqrt(12) and sqrt(27): sqrt(12) = sqrt(4 × 3) = sqrt(4) × sqrt(3) = 2sqrt(3) sqrt(27) = sqrt(9 × 3) = sqrt(9) × sqrt(3) = 3sqrt(3) Step 2: Substitute the simplified square roots back into the equation. sqrt(3)x^2 - 2sqrt(3)x = 3sqrt(3) Step 3: Rearrange the equation into the standard quadratic form ax^2 + bx + c = 0. sqrt(3)x^2 - 2sqrt(3)x - 3sqrt(3) = 0 Step 4: Divide the entire equation by sqrt(3) to simplify. sqrt(3)x^2sqrt(3) - 2sqrt(3)xsqrt(3) - 3sqrt(3)sqrt(3) = (0)/(sqrt(3)) x^2 - 2x - 3 = 0 Step 5: Factor the quadratic equation. We need two numbers that multiply to -3 and add to -2. These numbers are -3 and 1. (x - 3)(x + 1) = 0 Step 6: Set each factor equal to zero and solve for x. x - 3 = 0 x = 3 x + 1 = 0 x = -1 The solutions for x are: x = 3 or x = -1 Send me the next one 📸