The solutions to
2x^2 - 10x + 13 = x^2 - 17
are a + bi and a - bi where a and b are positive. What is ab?
√125 or 5√5
now can you help me with my question?
Rearrange as
x^2 - 10x + 30 = 0
Sum of the roots = 10 / 1 = 10 so a = 5
Product of the roots = 30
(5 + bi) ( 5 - bi) = 30
25 + b^2 = 30
b^2 = 30 - 25
b^2 = 5
b = sqrt (5)
ab = 5sqrt (5)