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Hillary
Mathematics
16 May, 08:11
Solve each equation by factoring
x^2-11x+19=-5
+3
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Lilian Williams
16 May, 08:12
0
X² - 11x + 19 = - 5
Convert to standard form: one side must be 0.
x² - 11x + 19 + 5 = 0
x² - 11x + 24 = 0
Factor of x² is x * x
Factor of 24:
*note that the 2 numbers must be equal to 24 and must add up to - 11
* - 8 x - 3 = + 24
* - 8 + - 3 = - 11
x² - 11x + 24 = 0
(x - 8) (x - 3) = 0
x - 8 = 0
x = 8
*to check: x² - 11x + 24 = 0
8² - 11 (8) + 24 = 0
64 - 88 + 24 = 0
88 - 88 = 0
0 = 0
x - 3 = 0
x = 3
to check: x² - 11x + 24 = 0
3² - 11 (3) + 24 = 0
9 - 33 + 24 = 0
33 - 33 = 0
0 = 0
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