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jake122390
04.07.2019 •
Mathematics
Solve the following equations by factorizing: 1) x² + 8x + 15 = 0 2) x² - 7x + 12 = 0 3) x² + 2x - 15 = 0 4) x² - 11x + 28 = 0 5) x² - x - 30 = 0 6) x² + 11x - 26 = 0 7) x² - 5x - 24 = 0 8) 14 + x² + 9x = 0 9) 7 + x² - 18x = -25 10) x² = 17x - 72
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Ответ:
1) x² + 8x + 15 = 0
Now what multiples to 15 and adds to 8? 5 and 3, 5x3=15, 5+3=8
so its
(x+5)(x+3)=0
now solve
x+5=0 x+3 =0
x = -5 x = -3
so the solution is -5, -3
4) x² - 11x + 28 = 0
what multiples to 28 and adds to -11? -7 and -4
(x-7)(x-4) =0
x= 7, 4
10) x² = 17x - 72 (okay ill do 3 of them)
first get numbers on same side where x² is positive
x² -17x + 72 = 0
what multiples to 72 and adds to -17? -9 and -8
(x-9)(x-8)=0
x= 9, 8
Ответ: