Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Discover solutions to your questions from experienced professionals across multiple fields on our comprehensive Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

For what value of x is...
The square of the binomial x+1 one hundred and twenty greater than the square of the binomial x-3?


Sagot :

Answer:

  • x = 6

Step-by-step explanation:

Set the equation and solve for x:

  • (x + 1)² = (x - 3)² + 120
  • x² + 2x + 1 = x² - 6x + 9 + 120
  • 2x + 6x = 129 - 1
  • 8x = 128
  • x = 128/8
  • x = 6

Lets , find the value of x :

[tex]→(x + 1)² = (x - 3)² + 120[/tex]

[tex]→x² + 2x + 1 = x² - 6x + 9 + 120[/tex]

[tex]→2x + 6x = 129 - 1[/tex]

[tex]→8x = 128[/tex]

[tex]→x = \frac{128}{8}[/tex]

[tex]→x = 6[/tex]