(7-2x)^2=121/144

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Solution for (7-2x)^2=121/144 equation:


x in (-oo:+oo)

(7-(2*x))^2 = 121/144 // - 121/144

(7-(2*x))^2-(121/144) = 0

(7-2*x)^2-121/144 = 0

(144*(7-2*x)^2)/144-121/144 = 0

144*(7-2*x)^2-121 = 0

576*x^2-4032*x+6935 = 0

576*x^2-4032*x+6935 = 0

576*x^2-4032*x+6935 = 0

DELTA = (-4032)^2-(4*576*6935)

DELTA = 278784

DELTA > 0

x = (278784^(1/2)+4032)/(2*576) or x = (4032-278784^(1/2))/(2*576)

x = 95/24 or x = 73/24

(x-73/24)*(x-95/24) = 0

((x-73/24)*(x-95/24))/144 = 0

((x-73/24)*(x-95/24))/144 = 0 // * 144

(x-73/24)*(x-95/24) = 0

( x-73/24 )

x-73/24 = 0 // + 73/24

x = 73/24

( x-95/24 )

x-95/24 = 0 // + 95/24

x = 95/24

x in { 73/24, 95/24 }

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