Answer:
x = i and x = i
Step-by-step explanation:
Given
+ 6x² + 5 = 0
Using the substitution u = x², then
u² + 6u + 5 = 0 ← in standard form
(u + 1)(u + 5) = 0 ← in factored form
Equate each factor to zero and solve for u
u + 1 = 0 ⇒ u = - 1
u + 5 = 0 ⇒ u = - 5
Convert solutions back into terms of x
x² = - 1 ⇒ x = = i
x² = - 5 ⇒ x = = i
Answer:
Perpendicular
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Step-by-step explanation:
Given
Required
Is AB and CD parallel?
First, we need to calculate the slope (m) of AB and CD
For AB:
So:
For CD:
So:
For Lines to be parallel, the slope must be equal:
i.e.
This condition is not true because:
For Lines to be perpendicular, the slope must be:
This implies:
<em>Hence, the lines are perpendicular</em>