Question

solve (x-7)^2-10=0.Give your answers in the form x = a + square root of b,where a and b are integers.

Answer 1

a = 7 , b = 10

Explanation:

given the equation

(x - 7)² - 10 = 0 ( add 10 to both sides )

(x - 7)² = 10 ( take square root of both sides )

`√((x-7)^2)` = ±
`√(10)`

x - 7 = ±
`√(10)` ( add 7 to both sides )

x = 7 ±
`√(10)` ← in the form a ±
`√(b)`

with a = 7 and b = 10