Math, asked by anushreeyapoudel123, 7 months ago

Solve it please I really need it and don't write out of track answers.
6a²-13a+5

Answers

Answered by ashmitbhadra
0

Answer:

Step by Step Solution:

More Icon

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "a2"   was replaced by   "a^2".  

STEP

1

:

Equation at the end of step 1

 ((2•3a2) -  13a) +  6

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  6a2-13a+6  

The first term is,  6a2  its coefficient is  6 .

The middle term is,  -13a  its coefficient is  -13 .

The last term, "the constant", is  +6  

Step-1 : Multiply the coefficient of the first term by the constant   6 • 6 = 36  

Step-2 : Find two factors of  36  whose sum equals the coefficient of the middle term, which is   -13 .

     -36    +    -1    =    -37  

     -18    +    -2    =    -20  

     -12    +    -3    =    -15  

     -9    +    -4    =    -13    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -9  and  -4  

                    6a2 - 9a - 4a - 6

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

                   3a • (2a-3)

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

                   2 • (2a-3)

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

                   (3a-2)  •  (2a-3)

            Which is the desired factorization

Final result :

 (2a - 3) • (3a - 2)

Step-by-step explanation:

Answered by Mkhan0925
2

Answer:

a=1/2 or a=5/3

Step-by-step explanation:

6a²-13a+5=0

by spiliting the middle term

6a²-10a-3a+5

2a(3a-5)-1(3a-5)

(2a-1)(3a-5)

hence a=1/2 or a=5/3

mark as brilliant

Similar questions