IDNLearn.com: Your trusted platform for finding reliable answers. Join our interactive Q&A community and access a wealth of reliable answers to your most pressing questions.
Sagot :
[tex](x+1)^2 -(x-1)^2 = 32 \\ \\x^2+2x+1 -(x^2-2x+1)=32\\ \\x^2+2x+1-x^2+2x-1=32\\ \\ 4x =32\ \ / :4 \\ \\x=\frac{32}{4}\\ \\x=8 [/tex]
All the busy-work is on the left side.
1). Take care of the (x+1)² . . .
(x + 1)² = x² + 2x + 1
2). Take care of the (x-1)² . . .
(x - 1)² = x² - 2x + 1
The problem says that (the first expression) minus (the second expression) is 32 .
(x² + 2x + 1) - (x² - 2x + 1) = 32
Can you handle this ?
Only one more touchy point to take care of . . . removing the second parentheses.
Since there's a negative sign before it, that changes the sign of everything inside:
(x² + 2x + 1) PLUS (- x² + 2x - 1) = 32
Now you can just erase all the parentheses:
x² + 2x + 1 - x² + 2x - 1 = 32
Now I'm just going to write the things on the left side in a different order,
without changing anything:
x² - x² + 2x + 2x + 1 - 1 = 32
Isn't that neat ? ! ?
What you have now is:
4x = 32
Divide each side by 4 :
x = 8
Just watch how slick that works:
(x + 1)² - (x - 1)² = ?
(x + 1) = 9 (x - 1) = 7
(9)² - (7)² = 81 - 49 = . . . . . . . . 32 !
спасибо
Удачи
1). Take care of the (x+1)² . . .
(x + 1)² = x² + 2x + 1
2). Take care of the (x-1)² . . .
(x - 1)² = x² - 2x + 1
The problem says that (the first expression) minus (the second expression) is 32 .
(x² + 2x + 1) - (x² - 2x + 1) = 32
Can you handle this ?
Only one more touchy point to take care of . . . removing the second parentheses.
Since there's a negative sign before it, that changes the sign of everything inside:
(x² + 2x + 1) PLUS (- x² + 2x - 1) = 32
Now you can just erase all the parentheses:
x² + 2x + 1 - x² + 2x - 1 = 32
Now I'm just going to write the things on the left side in a different order,
without changing anything:
x² - x² + 2x + 2x + 1 - 1 = 32
Isn't that neat ? ! ?
What you have now is:
4x = 32
Divide each side by 4 :
x = 8
Just watch how slick that works:
(x + 1)² - (x - 1)² = ?
(x + 1) = 9 (x - 1) = 7
(9)² - (7)² = 81 - 49 = . . . . . . . . 32 !
спасибо
Удачи
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to assisting you again.