Let the expression be written in form of a and b
the sum of a quadratic is the mid value -a/b which is equal to -(-10) /1,
Hence a + b = -( - 10 ) , a+b = 10 ------ ( 1 )
Next, recall, that the questions says the subtraction is 6.
Hence a - b = 6 ------ ( 2 )
finally, q is in the product position in the quadratic expression,
hence, ab = q ------- ( 3 )
Solving eqation 1 and 2 simultaneously
a + b = 10 ----- (1)
a - b = 6 -------(2)
2b = 10 - 6 ( subtractind equation 1 from 2 and eliminating a )
2b = 4
b= 4/2 ( dividing both sides by 2 )
b = 2
( Now, substitute the value b into equation 2 )
a - 2 = 6
a = 6 + 2
a = 8. ( generally a = 8 and b = 2 )
( now substitite your values a and b into equation 3 to find q )
ab = q
8 x 2 = q
Therefore the value of q is 16