Question

TZ. Find m, given that the difference of the roots of the equation
2x2 - 12x + m + 2 = 0 is 2.​

Answer 1

Answer:

Let p and q be the roots, then

p+q = - (-12)/2 and pq = (m+2)/2

Now, (p-q)2 = p2-2pq+q2 = p2-2pq+q2+2pq-2pq = p2+2pq+q2-4pq = (p+q)2 - 4pq

Now, p-q = 2

So, 2^2 = 6^2-4.(m+2)/2

=> 4 = 36 - 2(m+2)

=> 4 = 36 - 2m - 4

=> m = 14

Answer 2

Answer:

m = 14

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Step-by-step explanation:

explanation is given in the pic attached

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