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Question

If the roots of the equation bx2+cx+a=0be nonreal, then for all real values of x, the expression 3b2x2+6bcx+2c2 is



A

less than 4ab

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B

greater than – 4ab

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C

less than – 4ab

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D

greater than 4ab

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Solution

The correct option is A

less than 4ab


roots ofbx2+cx+a=0.are non realc24ab<0c2<4abc2>4ab       3b2x2+6bcx+2c2Min:Value      =4(3b2)(2c2)36b2c24.(3b2)      =12b2c212b2      =c2      >4ab


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