(1/3x+10)2=24

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Solution for (1/3x+10)2=24 equation:


x in (-oo:+oo)

((1/3)*x+10)^2 = 24 // - 24

((1/3)*x+10)^2-24 = 0

(1/3*x+10)^2-24 = 0

(1/3*x+10)^2-24 = 0

1/9*x^2+20/3*x+76 = 0

1/9*x^2+20/3*x+76 = 0

1/9*x^2+20/3*x+76 = 0

DELTA = (20/3)^2-(1/9*4*76)

DELTA = 32/3

DELTA > 0

x = ((32/3)^(1/2)-20/3)/(1/9*2) or x = (-(32/3)^(1/2)-20/3)/(1/9*2)

x = 9/2*((32/3)^(1/2)-20/3) or x = -9/2*((32/3)^(1/2)+20/3)

(x+9/2*((32/3)^(1/2)+20/3))*(x-9/2*((32/3)^(1/2)-20/3)) = 0

(x+9/2*((32/3)^(1/2)+20/3))*(x-9/2*((32/3)^(1/2)-20/3)) = 0

( x+9/2*((32/3)^(1/2)+20/3) )

x+9/2*((32/3)^(1/2)+20/3) = 0 // - 9/2*((32/3)^(1/2)+20/3)

x = -(9/2*((32/3)^(1/2)+20/3))

x = -9/2*((32/3)^(1/2)+20/3)

( x-9/2*((32/3)^(1/2)-20/3) )

x-9/2*((32/3)^(1/2)-20/3) = 0 // + -9/2*((32/3)^(1/2)-20/3)

x = -(-9/2*((32/3)^(1/2)-20/3))

x = 9/2*((32/3)^(1/2)-20/3)

x in { -9/2*((32/3)^(1/2)+20/3), 9/2*((32/3)^(1/2)-20/3) }

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