Q. 155.0( 2 Votes )
If one root the quadratic equation 2x2 + kx – 6 = 0 is 2. Find the value of "k" and also find the other root.
Answer :
Given: One root of 2x2 + kx – 6 = 0 is 2
Then At x = 2, the equation will be satisfied.
2 (2)2 + k × 2 – 6 = 0
8 + 2 k – 6 = 0
2 k + 2 = 0
K = –1
So now the equation becomes 2x2 + 2x – 6 = 0
For this equation, Product of the roots = (–6/2)
Product of roots = – 3
Let a and b be the roots of the equation and it is given that a = 2
2 × b = –3
B = –3/2
Hence the value of k = –1 and other root is –3/2.
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