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Question
If the product of the roots of the equation `x^2-3x+k=10` is-2 then the value of k is
(a) -2 (b) -8 (c) 8 (d) 12
Solution
(c) 8
It is given that the product of the roots of the equation `x^2-3x+k=10 is -2` . The equation can be rewritten as:
`x^2-3x+(k-10)=0`
Product of the roots of a quadratic equation = `c/a`
⇒` c/a=-2`
⇒ `((k-10))/1=-2`
⇒` k=8`
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