a equation kx(x-2√5)+10 find tha vakue if the k
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Answer:
kx(x – 2√5 ) + 10 = 0
⇒ kx² – 2√5 kx + 10 = 0
Here, a = k, b = – 2√5 k, c = 10
Given roots are equal,
★ D = b² – 4ac = 0
⇒ (–2√5 k)^2 – 4 × k × 10 = 0
⇒ 20k^2 – 40k = 0
⇒ 20k(k – 2) = 0
⇒ k(k – 2) = 0
⇒ k ≠ 0
⇒ k = 2
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