Solve using perfect square factoring patterns. x2 – 10x + 25 = 9 A. {4, –12} B. {2, 8} C. {–8, –2} D. {–4, 12}

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16-06-2015
Mathematics

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Solve using perfect square factoring patterns. x2 – 10x + 25 = 9 A. {4, –12} B. {2, 8} C. {–8, –2} D. {–4, 12}

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jerseymateriall jerseymateriall · Answer 1 · 2015-06-16T23:15:32+02:00

x² - 10x + 25 = 9
x² - 10x +16 = 0 <---- subtracted 9 from each side .....
Since you there are no factors of 16 that add up to -10 do the quadratic formula : -b + √b² - 4ac
-------------------------
2a

-(-10) + √(10)² - 4(1)(16)
10 + √36
10 + 6
10 + 6 = 16
16 / 2 = 8 <--- your first answer

10 - 6 = 4
4 / 2 = 2 <---- your other answer

so your answer is B { 2,8 }