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Zepler [3.9K]
4 years ago
8

Solve for x in the equation x^2 + 20x + 100 =36

Mathematics
1 answer:
sashaice [31]4 years ago
6 0

Answer:

x1 = -4, x2 = -16

Step-by-step explanation:

1.- equal the equation to 0

x^2 + 20x + 100 - 36 = 0

x^2 + 20x + 64

2.- factor to simplify.

(x + 4)(x + 16) = 0

3.- equal each factor to 0 and solve for x.

x + 4 = 0,   x = -4

x + 16 = 0,   x = -16

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We already know the first part of the solution (x) which is -2.  We can find the other part (y) by putting the value of equation (2) in equation (1).

By putting the values of x in equation (1), we get

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