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castortr0y [4]
4 years ago
13

Solve the equation by factoring. x2 + 6x – 27 = 0

Mathematics
2 answers:
BARSIC [14]4 years ago
6 0

Answer:

x = -9 or x = 3

Step-by-step explanation:

Given :

x^{2} +6x -27 = 0

solving by factoring , we have to look for two factors that will be multiplied together to give -27x^{2} and add to give 6x.

The factors are :

9x and -3x

check:

9x x-3x = -27x^{2}

-3x + 9x = 6x

The next thing is to replace 6x in the main equation with the two factors , the equation then becomes :

x^{2} +9x -3x - 27 = 0

x(x+9)-3(x+9) = 0

(x+9)(x-3) = 0

either x + 9 = 0  or x - 3 = 0

Therefore :

x = -9  or x = 3

Len [333]4 years ago
5 0

Answer:

(x+3)(x-9)

Step-by-step explanation:

x^2 -9x +3x -27 (add like terms) x^2+6x -27=0

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