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x+2= square root -13x-26

Sagot :

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