Divide (-42x¹) by (√14 x²)
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Answer:
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Step-by-step explanation:
For real and equal roots, the Discriminant should be 0.
(m – 12) x2 + 2(m –12) x + 2 = 0
∆ = b2 - 4ac = 0
a = m - 12, b = 2(m - 12), c = 2
[2(m - 12)2- 4(m - 12) × 2 = 0
⇒ 4m2 + 576 - 96m - 8m + 96 = 0
⇒ 4 m2 - 104m + 672 = 0
⇒ m2 - 26m + 168 = 0
⇒ m2 - 14m - 12m + 168 = 0
⇒ m(m - 14) - 12(m - 14) = 0
⇒ (m - 14)(m - 12) = 0
⇒ m = 12, 14
So the value is either 12 or 14 for the required situation.
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