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Jenicacarciller19go
Answered

Find the solution of the equation 2x² + 8x - 10 = 0 by completing the squarez​

Sagot :

AGboiigo

[tex]\large{\mathcal{SOLUTION:}}[/tex]

  • 2x²+8x-10 = 0
  • 2x²+8x = 10
  • 2(x²+4x) = 10
  • 2(x²+4x+4) = 10+2(4)
  • 2(x+2)² = 10+8
  • 2(x+2)² = 18
  • 2(x+2)² /2 = 18/2
  • (x+2)² = 9

extracting square root

  • √(x+2)² = √9
  • x+2 = ± 3

[tex] \\ [/tex]

For , x+2 = 3

  • x+2 = 3
  • x = 3 - 2
  • x = 1

For , x+2 = -3

  • x+2 = -3
  • x = -3-2
  • x = -5

Therefore , the solutions are 1 and -5

[tex] \\ [/tex]

[tex]\large{\mathcal{ANSWER:}}[/tex]

  • 1 and -5

[tex] \\ [/tex]

JuniorZxgo

✒️[tex]QUESTION[/tex]

Find the solution of the equation 2x² + 8x - 10 = 0 by completing the squarez?

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✒️[tex]ANSWER[/tex]

x = 1 or x = -5

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✒️[tex]SOLUTION[/tex]

Solve By Factoring :

2x² + 8x - 10 = 0

2x² - 2x + 10x - 10 = 0

2x ( x - 1 ) + 10 ( x - 1 ) = 0

2 ( x - 1 ) ( x + 5 ) = 0

x - 1 = 0 or x + 5 = 0

x = 1 or x = -5

So the correct answer is x = 1 or x = -5

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