Solve this x4+35=3x22

Mathematics

ScanSolve AI Answer

Step-by-step solution

3 steps
  1. Interpret the equation and rearrange.

    The given equation is interpreted as x4+35=3x2−2x^4 + 35 = 3x^2 - 2.
    Rearrange the terms to form a standard quartic equation:

    x4−3x2+35+2=0x^4 - 3x^2 + 35 + 2 = 0 x4−3x2+37=0x^4 - 3x^2 + 37 = 0
  2. Substitute y=x2y = x^2 to transform the equation into a quadratic form.

    Let y=x2y = x^2. The equation becomes:

    y2−3y+37=0y^2 - 3y + 37 = 0
  3. Solve the quadratic equation for yy using the quadratic formula $y = \frac{-b

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