Question

I need help with this question

Answer 1

Answer:

k = 16 , (4, 0 )

Step-by-step explanation:

Using the discriminant Δ = b² - 4ac

• b² - 4ac = 0 , then 2 real and equal roots

Here

y = x² - 8x + k

with a = 1, b = - 8, c = k , then

b² - 4ac

= (- 8)² - (4 × 1 × k)

= 64 - 4k , and equating to zero

64 - 4k = 0 ( subtract 64 from both sides )

- 4k = - 64 ( divide both sides by - 4 )

k = 16

Then

y = x² - 8x + 16

Equate to zero to find the root

x² - 8x + 16 = 0 ← left side is a perfect square

(x - 4)² = 0

x - 4 = 0 ( add 4 to both sides )

x = 4

The point on the x- axis is (4, 0 )