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Answer:
x = -15 and x = -2
Step-by-step explanation:
x+2 = [tex]\sqrt{-13x-26}[/tex]
first step is to square both sides to eliminate the square root symbol
(x+2)² = -13x - 26
now use the 'foil' method on (x+2)² to get:
x² + 4x + 4 = -13x - 26
add 13x to each side to get:
x² + 17x + 4 = -26
add 26 to each side to get:
x² + 17x + 30 = 0
(x+15)(x+2) = 0
x+15 =0; x = -15
x+2 =0; x = -2