x/((0.30-x)(0.40-x))=4.26

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Solution for x/((0.30-x)(0.40-x))=4.26 equation:


D( x )

(0.3-x)*(0.4-x) = 0

(0.3-x)*(0.4-x) = 0

(0.3-x)*(0.4-x) = 0

( 0.3-x )

0.3-x = 0 // - 0.3

-x = -0.3 // * -1

x = 0.3

( 0.4-x )

0.4-x = 0 // - 0.4

-x = -0.4 // * -1

x = 0.4

x in (-oo:0.3) U (0.3:0.4) U (0.4:+oo)

x/((0.3-x)*(0.4-x)) = 4.26 // - 4.26

x/((0.3-x)*(0.4-x))-4.26 = 0

x/((0.3-x)*(0.4-x))+(-4.26*(0.3-x)*(0.4-x))/((0.3-x)*(0.4-x)) = 0

x-4.26*(0.3-x)*(0.4-x) = 0

3.982*x-4.26*x^2-0.5112 = 0

3.982*x-4.26*x^2-0.5112 = 0

3.982*x-4.26*x^2-0.5112 = 0

DELTA = 3.982^2-(-4.26*(-0.5112)*4)

DELTA = 3.982^2-8.710848

DELTA = 7.145476

DELTA > 0

x = ((3.982^2-8.710848)^(1/2)-3.982)/(-4.26*2) or x = (-(3.982^2-8.710848)^(1/2)-3.982)/(-4.26*2)

x = -0.11737089*((3.982^2-8.710848)^(1/2)-3.982) or x = 0.11737089*((3.982^2-8.710848)^(1/2)+3.982)

(x+0.11737089*((3.982^2-8.710848)^(1/2)-3.982))*(x-0.11737089*((3.982^2-8.710848)^(1/2)+3.982)) = 0

((x+0.11737089*((3.982^2-8.710848)^(1/2)-3.982))*(x-0.11737089*((3.982^2-8.710848)^(1/2)+3.982)))/((0.3-x)*(0.4-x)) = 0

((x+0.11737089*((3.982^2-8.710848)^(1/2)-3.982))*(x-0.11737089*((3.982^2-8.710848)^(1/2)+3.982)))/((0.3-x)*(0.4-x)) = 0 // * (0.3-x)*(0.4-x)

(x+0.11737089*((3.982^2-8.710848)^(1/2)-3.982))*(x-0.11737089*((3.982^2-8.710848)^(1/2)+3.982)) = 0

( x+0.11737089*((3.982^2-8.710848)^(1/2)-3.982) )

x+0.11737089*((3.982^2-8.710848)^(1/2)-3.982) = 0 // - 0.11737089*((3.982^2-8.710848)^(1/2)-3.982)

x = -(0.11737089*((3.982^2-8.710848)^(1/2)-3.982))

x = -0.11737089*((3.982^2-8.710848)^(1/2)-3.982)

( x-0.11737089*((3.982^2-8.710848)^(1/2)+3.982) )

x-0.11737089*((3.982^2-8.710848)^(1/2)+3.982) = 0 // + -0.11737089*((3.982^2-8.710848)^(1/2)+3.982)

x = -(-0.11737089*((3.982^2-8.710848)^(1/2)+3.982))

x = 0.11737089*((3.982^2-8.710848)^(1/2)+3.982)

x in { -0.11737089*((3.982^2-8.710848)^(1/2)-3.982), 0.11737089*((3.982^2-8.710848)^(1/2)+3.982) }

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