If the product of the roots for the equation x2-3 k x-2 e2 ln k-1-0 is 7 - then the roots of the equation are real for k-

The correct option is C 2Answer = cProduct of roots = 2e2ln(k) 1 = 7; 2e2ln(k) = 8; e2ln(k) = 4; k2 = 4; k = ±2For the roots to be real, k gt;0 k=2. to rech ...

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Standard XII

Mathematics

Composite Function

If the produc...

Question

If the product of the roots for the equation x² – 3kx +2e^2ln(k) -1=0 is 7, then the roots of the equation are real for k= ?

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Solution

The correct option is B 2
Answer = c
Product of roots = 2e^2ln(k) -1 = 7; 2e^2ln(k) = 8; e^2ln(k)= 4; k²= 4; k = ±2
For the roots to be real, k>0 k=2. to recheck CHECK for D>0; D= 9k² -4 (2e^2ln(k) -1) = 8>0

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If the product of the roots for the equation x2 – 3kx +2e2ln(k) -1=0 is 7, then the roots of the equation are real for k= ?

The correct option is B 2Answer = cProduct of roots = 2e2ln(k) -1 = 7; 2e2ln(k) = 8; e2ln(k) = 4; k2 = 4; k = ±2For the roots to be real, k>0 k=2. to recheck CHECK for D>0; D= 9k2 -4 (2e2ln(k) -1) = 8>0

If the product of the roots for the equation x² – 3kx +2e^2ln(k) -1=0 is 7, then the roots of the equation are real for k= ?

The correct option is B 2
Answer = c
Product of roots = 2e^2ln(k) -1 = 7; 2e^2ln(k) = 8; e^2ln(k)= 4; k²= 4; k = ±2
For the roots to be real, k>0 k=2. to recheck CHECK for D>0; D= 9k² -4 (2e^2ln(k) -1) = 8>0