If the quadratic equation 2 + 2 + = 0 has two equal roots, then find the values of m.
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Q) If the quadratic equation mx^2 + 2m + m = 0 has two equal roots, then find the values of m.
ans) the given quadratic equation is
mx² + 2x + m = 0
we have a = m ; b = 2 ; c = m
D = b² ¬ 4ac = (2)² ¬ 4(m) (m) = 4 ¬ 4m²
for equal roots, D = 0
⇒ 4 ¬ 4m² = 0
⇒ 4m² = 4
⇒ m² = 1
⇒ m = ±1
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