Prove that the roots of the equation `(a^4+b^4)x^2+4a b c dx+(c^4+d^4)=0` cannot be different, if real.

Explanation

To prove that the roots of the equation \((a^4 + b^4)x^2 + 4abcdx + (c^4 + d^4) = 0\) cannot be different if they are real, we will analyze the discriminant of the quadratic equation.

### Step 1: Identify the coefficients
The given quadratic equation can be expressed in the standard form \(Ax^2 + Bx + C = 0\), where:
- \(A = a^4 + b^4\)
- \(B = 4abcd\)
- \(C = c^4 + d^4\)

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