Math, asked by gurungriya1411, 11 months ago


x2 + 2x- 168=0 find the answer by middleterm

Answers

Answered by st6531779
2

Answer:

Factoring x2-2x-168

The first term is, x2 its coefficient is 1 .

The middle term is, -2x its coefficient is -2 .

The last term, "the constant", is -168

Step-1 : Multiply the coefficient of the first term by the constant 1 • -168 = -168

Step-2 : Find two factors of -168 whose sum equals the coefficient of the middle term, which is -2 .

-168 + 1 = -167

-84 + 2 = -82

-56 + 3 = -53

-42 + 4 = -38

-28 + 6 = -22

-24 + 7 = -17

-21 + 8 = -13

-14 + 12 = -2 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and 12

x2 - 14x + 12x - 168

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

x • (x-14)

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

12 • (x-14)

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

(x+12) • (x-14)

Which is the desired factorization

Equation at the end of step

1

:

(x + 12) • (x - 14) = 0

STEP

2

:

Theory - Roots of a product

Answered by MMiscrazy
3

Answer:

=>x²+2x-168=0

=>x²+(14-12)x-168=0

=>x²+14x-12x-168=0

=>x(x+14)-12(x+14)=0

=>(x+14)(x-12)=0

Either, or,

x+14=0 x-12=0

x= -14 x=12

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