Question

36 square X 8 by 72 X 144 Please Solve stepwise

Answer 1

Answer:

Two numbers which have only 1 as a common factor are said to be co-prime or relatively prime or mutually prime numbers.

We can write 17 as 17 × 1 and 19 as 17 × 1.

Hence, 17 and 19 is a pair of co-prime numbers

Answer 2

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

8*x^2-36*x-(72)=0

Step by step solution :

STEP

1

:

Equation at the end of step 1

(23x2 - 36x) - 72 = 0

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

8x2 - 36x - 72 = 4 • (2x2 - 9x - 18)

Trying to factor by splitting the middle term

3.2 Factoring 2x2 - 9x - 18

The first term is, 2x2 its coefficient is 2 .

The middle term is, -9x its coefficient is -9 .

The last term, "the constant", is -18

Step-1 : Multiply the coefficient of the first term by the constant 2 • -18 = -36

Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -9 .

-36 + 1 = -35

-18 + 2 = -16

-12 + 3 = -9 That's it

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

2x2 - 12x + 3x - 18

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

2x • (x-6)

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

3 • (x-6)

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

(2x+3) • (x-6)

Which is the desired factorization

Equation at the end of step

3

:

4 • (x - 6) • (2x + 3) = 0

STEP

4

:

Theory - Roots of a product

4.1 A product of se