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

#### Question

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

#### 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

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