(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-49+784 = 0

16*X^2+224*X-49+784 = 0

16*X^2+224*X-49+784 = 0

DELTA = 224^2-(4*16*(784-49))

DELTA = 50176-64*(784-49)

DELTA = 3136

DELTA > 0

X = ((50176-64*(784-49))^(1/2)-224)/(2*16) or X = (-(50176-64*(784-49))^(1/2)-224)/(2*16)

X = (56-224)/32 or X = (-224-56)/32

(X-((-224-56)/32))*(X-((56-224)/32)) = 0

((X-((-224-56)/32))*(X-((56-224)/32)))/16 = 0

((X-((-224-56)/32))*(X-((56-224)/32)))/16 = 0 // * 16

(X-((-224-56)/32))*(X-((56-224)/32)) = 0

( X-((-224-56)/32) )

X-((-224-56)/32) = 0 // + (-224-56)/32

X = (-224-56)/32

( X-((56-224)/32) )

X-((56-224)/32) = 0 // + (56-224)/32

X = (56-224)/32

X in { (-224-56)/32, (56-224)/32 }

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