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.

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

1) is right

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: