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The equation x^(2)+2(m-1)x+(m+5)=0 has ...

The equation `x^(2)+2(m-1)x+(m+5)=0` has real and equal roots. Find the value of m.

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To find the value of \( m \) for which the quadratic equation \( x^2 + 2(m-1)x + (m+5) = 0 \) has real and equal roots, 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: - \( a = 1 \) - \( b = 2(m-1) \) - \( c = m + 5 \) ...
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