Question

Enter the correct answer in the box. What are the solutions of this quadratic equation? X^2+164=16x Substitute the values of a and b to complete the solutions.

Answer 1

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