(x+7)^2=49/16

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Solution for (x+7)^2=49/16 equation:


x in (-oo:+oo)

(x+7)^2 = 49/16 // - 49/16

(x+7)^2-(49/16) = 0

(x+7)^2-49/16 = 0

(16*(x+7)^2)/16-49/16 = 0

16*(x+7)^2-49 = 0

16*x^2+224*x+735 = 0

16*x^2+224*x+735 = 0

16*x^2+224*x+735 = 0

DELTA = 224^2-(4*16*735)

DELTA = 3136

DELTA > 0

x = (3136^(1/2)-224)/(2*16) or x = (-3136^(1/2)-224)/(2*16)

x = -21/4 or x = -35/4

(x+35/4)*(x+21/4) = 0

((x+35/4)*(x+21/4))/16 = 0

((x+35/4)*(x+21/4))/16 = 0 // * 16

(x+35/4)*(x+21/4) = 0

( x+21/4 )

x+21/4 = 0 // - 21/4

x = -21/4

( x+35/4 )

x+35/4 = 0 // - 35/4

x = -35/4

x in { -21/4, -35/4 }

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