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: Interpret the equation and rearrange. The given equation is interpreted as x^4 + 35 = 3x^2 - 2. Rearrange the terms to form a standard quartic equation: x^4 - 3x^2 + 35 + 2 = 0 x^4 - 3x^2 + 37 = 0 Step 2: Substitute y = x^2 to transform the equation into a quadratic form. Let y = x^2. The equation becomes: y^2 - 3y + 37 = 0 Step 3: Solve the quadratic equation for y using the quadratic formula $y = -b