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√(x-1) +√(x+2) = √(2x-3) x=?

User DPM
by
6.5k points

2 Answers

2 votes

Answer:


x = ( - 2 + - √( - 176) )/(10)

Explanation:

attached

√(x-1) +√(x+2) = √(2x-3) x=?-example-1
User MaddTheSane
by
6.3k points
0 votes

Answer:

  • x = 2

Explanation:

See the steps:


  • √(x-1) +√(x+2) =√(2x-3)
  • x - 1 + x + 2 + 2
    \sqrt{({x-1)(x+2)} = 2x - 3
  • 2x + 1 + 2
    √(x^2+x -2) = 2x - 3
  • 2
    √(x^2+x -2)} = -4

  • √(x^2+x-2) = -2
  • x² + x - 2 = 4
  • x² + x - 6 = 0
  • x = (-1 ±
    √(1-4(-6)))/2
  • x = (-1 ± 5)/2
  • x = -3, discounted as it leads to negative root
  • x = 2
User Elias Soares
by
6.7k points
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