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22-05-2022
Mathematics

contestada

For all values of x,
x² + 6x - 2 = (x+p)² + q
Find the value of p and the value of q.

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culveryolanda46 culveryolanda46

22-05-2022

Step-by-step explanation:

[tex] {x}^{2} + 6x - 2 = {x}^{2} + 2px + {p}^{2} + q[/tex]

[tex]2p = 6[/tex]

[tex] {p}^{2} + q = - 2[/tex]

[tex]p = 3[/tex]

[tex] {3}^{2} + q = - 2[/tex]

[tex]q = - 11[/tex]

p=3, q=-11

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