Respuesta :
Answer:
x = 8 - 10i or 8 + 10i
Step-by-step explanation:
Our equation is given as:
x² + 164 = 16x
x² - 16x + 164 = 0
We solve using Almighty formula
x = -b ± √b² - 4ac/2a
Where : ax² + bx + c
For our Equation
a = 1, b = -16, c = 164
Hence,
x = -(-16) ± √-16² - 4 × 1 × 164/2 × 1
x = 16 ± √256 - 656/2
x = 16 ± √-400/2
Finding the roots
x = 16/2 ± √-400/2
x = 8 ± 20i/2
x = 8 ± 10i
Therefore, the value of x
= 8 - 10i or 8 + 10i
