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Xample 5: Find the positive value of x which satisfies the equation,x² +5 =32-x² = 2.only little moon will ans no one else​

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Answer:

\huge\mathfrak\red{Question}

  • example 5: FIND the POSITIVE value of x which satisfies the equation,

x² + 5 / 2-x² => -3/2

\huge\mathfrak\red{solution}

  • put x² = y in the given equation. then it BECOMES

y +5 / 2-y = -3/2

  • by cross multiplying we get,
  • 2(y+5) = -3 (2-y)
  • 2y + 10 = -6+3y
  • 2y - 3y = -6-10
  • -y = -16
  • y = 16
  • y = x²
  • x² = 16= 4²
  • x = 4

\huge\mathfrak\red{ verification}

  • x = 4
  • L.H.S = x²+5/2-x² =
  • 4²+5/2-4² =
  • 16+5/2-16 =
  • 21/-14 =
  • -3/2 = R.H.S

hence , x = 4 is the solution


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