Question

Solve for x. Enter the solutions from least to greatest.

(x + 7)² - 49 = 0
lesser x =
greater x =

Answer 1

Lesser x = -14

Greater x = 0

Explanation:

Given equation:

`\sf (x+7)^2-49=0`

Add 49 to both sides:

`\implies \sf (x+7)^2-49+49=0+49`

`\implies \sf (x+7)^2=49`

Square root both sides:

`\implies \sf √((x+7)^2)=√(49)`

`\implies \sf x+7=\pm7`

Solve for x:

`\implies \sf x+7=7 \implies x=0`

`\implies \sf x+7=-7 \implies x=-14`

As -14 < 0

• Lesser x = -14
• Greater x = 0