Question

(x+5)²=9

Difference of 2 squares
quadratic equation
solve (please show full working)

Answer 1

`x= -8\\\\x= - 2`

Explanation:

`~~~~~~~~(x+5)^2 = 9\\\\\implies (x+5)^2 -9 = 0\\\\\implies (x+5)^2 - 3^2 = 0\\\\\implies (x+5 +3)(x +5 - 3)=0~~~~~~~~~~~~~~~~~;[a^2 -b^2 = (a+b)(a-b)]\\\\\implies (x+8)( x+2) = 0\\\\\implies x = -8,~ x = -2`