Question

x+2/3x=180.find the value of x..?

Answer 1

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Answer 2

Answer:

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Step-by-step explanation:

Factoring x2+3x-1 180

The first term is, x2 its coefficient is 1.

The middle term is, + 3 * x its coefficient is 3.

The last term, "the constant", is -180

Step-1: Multiply the coefficients of the first term by the constant 1 * - 180 = -180

Step-2 : Find two factors of -180 whose sum equals the coefficient of the middle term, which is 3.

-180 + 1 = -179

-180 + 1 = -179 -90 + 2 = -88

-180 + 1 = -179 -90 + 2 = -88-60 + 3 = -57

-180 + 1 = -179 -90 + 2 = -88-60 + 3 = -57-45 + 4 = -41

-180 + 1 = -179 -90 + 2 = -88-60 + 3 = -57-45 + 4 = -41-36 + 5 = -31

-180 + 1 = -179 -90 + 2 = -88-60 + 3 = -57-45 + 4 = -41-36 + 5 = -31-30 + 6 = -24

-180 + 1 = -179 -90 + 2 = -88-60 + 3 = -57-45 + 4 = -41-36 + 5 = -31-30 + 6 = -24-20 + 9 = -11

-180 + 1 = -179 -90 + 2 = -88-60 + 3 = -57-45 + 4 = -41-36 + 5 = -31-30 + 6 = -24-20 + 9 = -11-18 + 10 = -8

-180 + 1 = -179 -90 + 2 = -88-60 + 3 = -57-45 + 4 = -41-36 + 5 = -31-30 + 6 = -24-20 + 9 = -11-18 + 10 = -8-15 + 12 = -3

-180 + 1 = -179 -90 + 2 = -88-60 + 3 = -57-45 + 4 = -41-36 + 5 = -31-30 + 6 = -24-20 + 9 = -11-18 + 10 = -8-15 + 12 = -3-12 + 15 = 3

That's it

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 15 x2-12x+15x-180

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

x*(x-1 12)

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

15(x - 12)

Step-5: Add up the four terms of

step 4: (x + 15)(x - 12) Which is the desired factorization