If the roots of the equation `(a^2+b^2)x^2-2(a c+b d)x+(c^2+d^2)=0` are equal, prove that `a/b=c/ddot`

Explanation

To prove that if the roots of the equation \((a^2 + b^2)x^2 - 2(ac + bd)x + (c^2 + d^2) = 0\) are equal, then \( \frac{a}{b} = \frac{c}{d} \), we will follow these steps:

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

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