x=(117-4x)^(1/2)

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Solution for x=(117-4x)^(1/2) equation:


D( x )

117-(4*x) < 0

117-(4*x) < 0

117-(4*x) < 0

117-4*x < 0

117-4*x < 0 // - 117

-4*x < -117 // : -4

x > -117/(-4)

x > 117/4

x in (-oo:117/4>

x = (117-(4*x))^(1/2) // - (117-(4*x))^(1/2)

x-(117-(4*x))^(1/2) = 0

x-(117-4*x)^(1/2) = 0

-(117-4*x)^(1/2) = x // - x

-(117-4*x)^(1/2) = -x // ^ 2

abs(117-4*x) = (-x)^2 // - (-x)^2

abs(117-4*x)-(-x)^2 = 0

x in (-oo:+oo)

abs(117-4*x)

117-4*x >= 0

117-4*x >= 0 // - 117

-4*x >= -117 // : -4

x <= -117/(-4)

x <= 117/4

x in (-oo:117/4>

117-(-x)^2-4*x = 0

x in (117/4:+oo)

-(-x)^2-(-4*x)-117 = 0

abs(117-4*x)-(-x)^2 = 0

/ | 117-(-x)^2-4*x = 0 i x in (-oo:117/4> | -(-x)^2-(-4*x)-117 = 0 i x in (117/4:+oo)

x in (-oo:117/4>

117-(-x)^2-4*x = 0

117-x^2-4*x = 0

DELTA = (-4)^2-(-1*4*117)

DELTA = 484

DELTA > 0

x = (484^(1/2)+4)/(-1*2) or x = (4-484^(1/2))/(-1*2)

x = -13 or x = 9

x in (117/4:+oo)

-(-x)^2-(-4*x)-117 = 0

4*x-x^2-117 = 0

DELTA = 4^2-(-117*(-1)*4)

DELTA = -452

DELTA < 0

x in { -13, 9 }

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