Question

Please help me with this equation :(

Answer 1

a = 9 + b - c → D

Explanation:

To cancel the square root of one side of an equation square the two sides

Examples:

If
`√(x)` = 5, to find x square the two sides to cancel the square root

(
`√(x)` )² = (5)², then x = 25

If
`√(a+b)` = 7, to find a + b square the two sides to cancel the square root

(
`√(a+b)` )² = (7)², then a + b = 49

Now let us solve the question

To solve it for a square the two sides then keep a on the left side and move b, c to the other side

∵
`√(a-b+c)` = 3

→ Square the two sides to cancel the square root

∴ (
`√(a-b+c)`)² = (3)²

∴ a - b + c = 9

→ Add b to both sides to move b from the left side to the right side

∴ a - b + b + c = 9 + b

∴ a + c = 9 + b

→ Subtract c from both sides to move c from the left side to the right side

∴ a + c - c = 9 + b - c

∴ a = 9 + b - c