Math, asked by bulansonowal, 2 months ago

solve by completing the square method: 11x^2- 8x- 3=0​

Answers

Answered by ahadjoker7
0

Answer:

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Answered by lakshay4269
0

Answer:

i hope this answer are useful

Step-by-step explanation:

Step by step solution :

STEP1:Equation at the end of step 1

(11x2 - 8x) - 3 = 0

STEP2:Trying to factor by splitting the middle term

 2.1     Factoring  11x2-8x-3 

The first term is,  11x2  its coefficient is  11 .

The middle term is,  -8x  its coefficient is  -8 .

The last term, "the constant", is  -3 

Step-1 : Multiply the coefficient of the first term by the constant   11 • -3 = -33 

Step-2 : Find two factors of  -33  whose sum equals the coefficient of the middle term, which is   -8 .

     -33   +   1   =   -32     -11   +   3   =   -8   That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -11  and  3 

                     11x2 - 11x + 3x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

                    11x • (x-1)

              Add up the last 2 terms, pulling out common factors :

                    3 • (x-1)

Step-5 : Add up the four terms of step 4 :

                    (11x+3)  •  (x-1)

             Which is the desired factorization

Equation at the end of step2:

(x - 1) • (11x + 3) = 0

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