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If the Roots of 2x2 - 6x + K = 0 Are Real and Equal, Find K. - Algebra

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If the roots of 2x2 - 6x + k = 0 are real and equal, find k.

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Solution

The roots of the quadratic equation are real and equal.
   ∴ b² - 4ac = 0
     (-6)² - 4 × 2 × k = 0
                       - 8k = -36
                           `k = 9/2`

Concept: Roots of a Quadratic Equation
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