If the zeroes of the quadratic polynomial
ax² + x + a are equal, then a = ?
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a = ± 1/2
Explanation:
The given quadratic polynomial is
f(x) = ax² + x + a
Since the zeros of f(x) are equal, then
Discriminant = 0
⇒ 1² - 4 * a * a = 0
⇒ 1 - 4a² = 0
⇒ 4a² = 1
⇒ a² = 1/4
⇒ a = ± 1/2
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