A square -4a-1 = 0 find the value of a square -1/a square
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Step-by-step explanation:
Given quadratic equation in x:
(α - 12) x² + 2 (α - 12) x + 2 = 0
Let α - 12 = a.
So a x² + 2 a x + 2 = 0
Discriminant = (2a)² - 4 * a * 2 = 4a² - 8 a
If the roots are real and equal, then the discriminant must be zero.
So 4a² - 8 a = 0 => a = 2.
Hence α - 12 = 2 => α = 14
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