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02-11-2021
Mathematics

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solve the equation by factoring
x^-2x=15

Respuesta :

Trancescient Trancescient

02-11-2021

Step-by-step explanation:

Add one to both sides of the equation:

[tex]x^2 - 2x + 1 = 15 + 1[/tex]

[tex]\Rightarrow (x - 1)^2 = 16[/tex]

Taking the square root of the equation above, we get

[tex]x - 1 = \pm 4[/tex]

or

[tex]x = 1 \pm 4 = 5, -3[/tex]

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