Question

Find all solutions (real or complex)

Answer 1

Answer:

Step-by-step explanation:

16p² = 29

p² = 29/16

p = ±√(29/16)

x² = -18

x = ±√(-18)

x = ± √9•√2•√-1

x = ± 3√2i

5(x - 1)² + 42 = 447

5(x² - 2x + 1) + 42 = 447

5x² - 10x + 5 + 42 = 447

5x² - 10x - 400 = 0

x² - 2x - 80 = 0

x = (2 ±√(2² - 4(1)(-80))) / (2(1))

x = (2 ±√324) / 2

x = (2 ±18) / 2

x = 1 ± 9

x = -8 , 10

3(x - 9)² = -100

3(x² - 18x + 81) = -100

3x² - 54x + 243 = -100

3x² - 54x + 343 = 0

x = (54 ±√(54² - 4(3)(343))) / (2(3))

x = (54 ±√-1200) / 6

x = (54 ± (20√3)i) / 6

x = 9 ± ⅓(10√3)i