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Mathematics 16 Online
OpenStudy (anonymous):

(3x)^2+39-6x=

OpenStudy (muzzack):

Final result : 3 • (3x^2 - 2x + 13)

OpenStudy (anonymous):

\[3x ^{2}+39-6x\]

OpenStudy (anonymous):

yes thats the problem

OpenStudy (anonymous):

x =(2-√56)/2=1-√ 14 = -2.742 x =(2+√56)/2=1+√ 14 = 4.742

OpenStudy (anonymous):

are you solving or factoring?

OpenStudy (anonymous):

solving

OpenStudy (anonymous):

Evaluate.

OpenStudy (anonymous):

cant sorry

OpenStudy (anonymous):

dont know how

OpenStudy (muzzack):

Step by step solution : Step 1 : Simplify \[9x^2+39 - 6x\] Pulling out like terms : Pull out like factors : \[9x^2 - 6x + 39 = 3 • (3x2 - 2x + 13) \] Trying to factor by splitting the middle term Factoring \[3x^2 - 2x + 13 \] The first term is, \[3x^2\] its coefficient is 3. The middle term is, -2x its coefficient is -2 . The last term, "the constant", is +13 Step-1 : Multiply the coefficient of the first term by the constant 3 • 13 = 39 Step-2 : Find two factors of 39 whose sum equals the coefficient of the middle term, which is -2 . -39 + -1 = -40 -13 + -3 = -16 -3 + -13 = -16 -1 + -39 = -40 1 + 39 = 40 3 + 13 = 16 13 + 3 = 16 39 + 1 = 40 Observation : No two such factors can be found !! Conclusion : Trinomial can not be factored Final result : \[ 3 • (3x^2 - 2x + 13)\]

OpenStudy (anonymous):

wow

OpenStudy (anonymous):

thankss

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