Solve for x

THANK YOU

Answers

Ithink the answer is $2.10

1

step-by-step explanation:

you are throwing one dart

Step-by-step explanation:

so, I read here

2/3 x + 3x/x = 4x/2 × (3x + 6)

that is

2/3 x + 3 = 4x/2 × (3x + 6)

2x/3 + 3 = 2x × (3x + 6)

2x + 9 = 6x × (3x + 6)

2x + 9 = 18x² + 36x

18x² + 34x - 9 = 0

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 18

b = 34

c = -9

x = (-34 ± sqrt(34² - 4×18×-9))/(2×18) =

= (-34 ± sqrt(1156 + 648))/36 =

= (-34 ± sqrt(1804))/36 =

= (-34 ± sqrt(4×11×41))/36 =

= (-34 ± 2×sqrt(451))/36

x1 = (-34 + 2×sqrt(451))/36 =

= 0.235375588...

x2 = (-34 - 2×sqrt(451))/36 =

= -2.124264477...



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