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