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3 years ago

If x^2+2=3^2/3+3^-2/3 then prove that 3x^3+9x-8=0

Mathematics

2 answers:

prisoha [69]3 years ago

8 0

here is the solution

gregori [183]3 years ago

6 0

Answer:

See below.

Step-by-step explanation:

x^2 + 2 = 3^2/3 + 3^-2/3

x^2 = 3^2/3 + 3^-2/3 - 2

x = √(3^2/3 + 3^-2/3 - 2)

x = 0.748888296

Substitute for x in 3x^3 + 9x - 8:

3( 0.748888296)^3 + 9( 0.748888296) - 8 = 0.

So it is proved.

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3 years ago

Read 2 more answers

Please help me with this and I will give one of the answers most brainliest

inna [77]

A)

$A=8\qquad\qquad B=12.5\\\\\\d(A,B)=|12.5-8|=|4.5|=\boxed{4.5\,\text{cm}}$

b)

$C=?\\\\\\d(C,A)=2\cdot d(C,B)\\\\|A-C|=2\cdot|B-C|\\\\|8-C|=2\cdot|12.5-C|\\\\
|8-C|=|25-2C|\\\\\\8-C=25-2C\qquad\vee\qquad8-C=-(25-2C)\\\\-C+2C=25-8\qquad\vee\qquad8-C=-25+2C\\\\C=17\qquad\vee\qquad8+25=2C+C\\\\C=17\qquad\vee\qquad33=3C\quad|:3\\\\\boxed{C=17\qquad\vee\qquad C=11}$

Mark 11 or 17.

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3 years ago

If x^2+2=3^2/3+3^-2/3 then prove that 3x^3+9x-8=0​

If x^2+2=3^2/3+3^-2/3 then prove that 3x^3+9x-8=0