1. How much greater is -20x^2+5x+17 than -19x^2+20x+18
?^2-15x-1

2. How much greater is -20x^7+10x^6-5x+15 than 13x^7+14x^5-4x^4-11x^2-17

Please help me 30 points. iMathmatics works, but my parents took my phone and its an app and i'm using a computer at the moment...

1. -x²-15x-1

2. -33x⁷+10x⁶-14x⁵+4x⁴+11x²-5x+32

Step-by-step explanation:

-20x^2+5x+17 - (-19x^2+20x+18)

-20x² + 19x² + 5x - 20x + 17 - 18

-x² - 15x - 1

-20x^7+10x^6-5x+15 - (13x^7+14x^5-4x^4-11x^2-17)

-20x⁷ - 13x⁷ + 10x⁶ - 14x⁵ + 4x⁴ + 11x² - 5x + 15 + 17

-33x⁷ + 10x⁶ - 14x⁵ + 4x⁴ + 11x² - 5x + 32

1. -x^2 - 15x - 1

2. -33x^7 + 10x^6  - 14x^5 + 4x^4 + 11x^2 - 5x + 32

Step-by-step explanation:

Problem 1.

How much greater is -20x^2 + 5x + 17 than -19x^2 + 20x + 18

Problem 1. Solution:

Subtract the second polynomial from the first polynomial.

-20x^2 + 5x + 17 - (-19x^2 + 20x + 18) =

To simplify the parentheses, think of the negative sign left of the parentheses as the number -1, and distribute it using the distributive property.

= -20x^2 + 5x + 17 -1(-19x^2 + 20x + 18)

We multiply -1 by each term in the parentheses.

= -20x^2 + 5x + 17 + 19x^2 - 20x - 18

Now we combine like terms. First, group each set of like terms together.

= -20x^2 + 19x^2 + 5x - 20x + 17 - 18

Now combine like terms.

= -x^2 - 15x - 1

Answer to Problem 1.: -x^2 - 15x - 1

Problem 2.

How much greater is -20x^7 + 10x^6 - 5x + 15 than 13x^7 + 14x^5 -4x^4 -11x^2 - 17

Problem 2. Solution:

Subtract the second polynomial from the first polynomial.

-20x^7 + 10x^6 - 5x + 15 - (13x^7 + 14x^5 - 4x^4 - 11x^2 - 17) =

To simplify the parentheses, think of the negative sign left of the parentheses as the number -1, and distribute it using the distributive property.

= -20x^7 + 10x^6 - 5x + 15 -1(13x^7 + 14x^5 - 4x^4 - 11x^2 - 17)

We multiply -1 by each term in the parentheses.

= -20x^7 + 10x^6 - 5x + 15 - 13x^7 - 14x^5 + 4x^4 + 11x^2 + 17

Now we combine like terms. First, group each set of like terms together.

= -20x^7 - 13x^7 + 10x^6 - 14x^5 + 4x^4 + 11x^2 - 5x + 15 + 17

Now combine like terms.

= -33x^7 + 10x^6  - 14x^5 + 4x^4 + 11x^2 - 5x + 32

Answer to Problem 2.: -33x^7 + 10x^6  - 14x^5 + 4x^4 + 11x^2 - 5x + 32

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)