5/6(24x^2-18x-30)

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Solution for 5/6(24x^2-18x-30) equation:


x in (-oo:+oo)

(5/6)*(24*x^2-(18*x)-30) = 0

(5/6)*(24*x^2-18*x-30) = 0

5/6*(24*x^2-18*x-30) = 0

24*x^2-18*x-30 = 0

6*(4*x^2-3*x-5) = 0

4*x^2-3*x-5 = 0

DELTA = (-3)^2-(-5*4*4)

DELTA = 89

DELTA > 0

x = (89^(1/2)+3)/(2*4) or x = (3-89^(1/2))/(2*4)

x = (89^(1/2)+3)/8 or x = (3-89^(1/2))/8

6*(x-((3-89^(1/2))/8))*(x-((89^(1/2)+3)/8)) = 0

5/6*6*(x-((3-89^(1/2))/8))*(x-((89^(1/2)+3)/8)) = 0

( x-((3-89^(1/2))/8) )

x-((3-89^(1/2))/8) = 0 // + (3-89^(1/2))/8

x = (3-89^(1/2))/8

( x-((89^(1/2)+3)/8) )

x-((89^(1/2)+3)/8) = 0 // + (89^(1/2)+3)/8

x = (89^(1/2)+3)/8

x in { (3-89^(1/2))/8, (89^(1/2)+3)/8 }

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