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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]