X2-64 = 0, 2x2 - 7x + 5 = 0

X2-64 = 0
2x2 - 7x + 5 = 0

 

Given: x² - 64 = 0

Solution:

Add 64 to both side:

x² - 64 + 64 = 0 + 64

x² = 64

Do a square root to both side:

√x² = ±√64

Answer: x = ±8

Given: 2x² - 7x + 5 = 0

Factor left side:

(2x - 5) (x - 1) = 0

Set factor equal to zero:

2x - 5 = 0 (divide both side to 2 to eliminate the "a" 2x ÷ 2 and 5 ÷ 2 the answer is 5/2)

x - 1 = 0

Answer: x = 1 and x = 5/2