Question

Solve this equation:(x-5)² - (x+2)² = -2​

Answer 1

Answer:

Step-by-step explanation:

→ (x-5)² - (x+2)² = -2​

→ First we will solve (x-5)²

→ (x-5)²

→ (a-b)² = a² - 2ab + b²

→ (x)² - 2(x)(5) + (5)²

→ x² - 10x + 25

→ now we will solve (x+2)²

→ (x+2)²

→ (a+b)² = a² + 2ab + b²

→ (x)² + 2(x)(2) + (2)²

→ x² + 4x + 4

→ now,

→ x² - 10x + 25 - x² + 4x + 4 = -2

→ x² - x² - 10x  + 4x + 25 + 4 = -2

→ -10x + 4x + 25 + 4 = -2

→ -6x + 29 = -2

→ -6x = -2-29

→ -6x = -31

→ 6x = 31

→ x = 31/6