Correct answers to these two problems, you!

1) x = -5 ± 4i

2) x = , -

Step-by-step explanation:

On the first one, you lost track of your fraction when you got to the part that's circled. The whole thing should be over 2, not just the -64

you should've had:

x = (-10 ± √(-64)) / 2

then simplify the √(-64):

x = (-10 ± 8i) / 2

x = -5 ± 4i

On the second one, I would've probably done it another way, but ill show you this way

24x² - 42x - 45 = 0

factor out the 3 as you did:

3(8x² - 14x - 15)

here you cant factor the way you did, because a ≠ 1.

when you have ax² + bx + c, you need to split b into 2 terms that multiply to ac and add to b

adds to -14 and multiplies to -120:

6 and -20

split b:

3(8x² + 6x - 20x - 15) = 0

factor by grouping:

3(2x(4x+3) - 5(4x + 3)) = 0

3(2x - 5)(4x + 3) = 0

use the zero product property to solve for x:

2x - 5 = 0

x =

4x + 3 = 0

x = -

angle efh= angle egh