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13-08-2021
Mathematics

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Which equation has the same solution as x2 + 16x + 9 = -3?

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xenia168 xenia168

13-08-2021

Answer:

Step-by-step explanation:

x² + 16x + 9 = - 3

x² + 16x + 12 = 0

D = 16² - 4(1)(12) = 208

√D = 4√13

[tex]x_{1}[/tex] = ( - 16 - 4√13 ) ÷ 2 = - 8 - 2√13 ≈ - 15.21

[tex]x_{2}[/tex] = ( - 16 + 4√13 ) ÷ 2 = 2√13 - 8 ≈ - 0.79

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