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The equation 3x^(2)-12x+(n-5)=0 has repe...

The equation `3x^(2)-12x+(n-5)=0` has repeated roots. Find the value of of n.

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To find the value of \( n \) for which the quadratic equation \( 3x^2 - 12x + (n - 5) = 0 \) has repeated roots, we follow these steps: ### Step 1: Understand the condition for repeated roots For a quadratic equation of the form \( ax^2 + bx + c = 0 \) to have repeated roots, the discriminant must be equal to zero. The discriminant \( D \) is given by the formula: \[ D = b^2 - 4ac \] If \( D = 0 \), the equation has repeated roots. ...
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