(x-5)^2-49/16=0

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Solution for (x-5)^2-49/16=0 equation:


x in (-oo:+oo)

(x-5)^2-(49/16) = 0

(x-5)^2-49/16 = 0

(16*(x-5)^2)/16-49/16 = 0

16*(x-5)^2-49 = 0

16*x^2-160*x+351 = 0

16*x^2-160*x+351 = 0

16*x^2-160*x+351 = 0

DELTA = (-160)^2-(4*16*351)

DELTA = 3136

DELTA > 0

x = (3136^(1/2)+160)/(2*16) or x = (160-3136^(1/2))/(2*16)

x = 27/4 or x = 13/4

(x-13/4)*(x-27/4) = 0

((x-13/4)*(x-27/4))/16 = 0

((x-13/4)*(x-27/4))/16 = 0 // * 16

(x-13/4)*(x-27/4) = 0

( x-13/4 )

x-13/4 = 0 // + 13/4

x = 13/4

( x-27/4 )

x-27/4 = 0 // + 27/4

x = 27/4

x in { 13/4, 27/4 }

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