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Solve the following equations by reducing them to quadratic equations:-
x²-5a²?
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Solve the following equations by reducing them to quadratic equations:...


Reducing the Equation to Quadratic Equation

Given Equation: x² - 5a²

Step 1: Identify the Quadratic Term

  • Quadratic Term:


Step 2: Rewrite the Expression

  • Let y = x²
  • So, the equation becomes: y - 5a²


Step 3: Replace the Quadratic Term with y

  • y - 5a² = 0


Step 4: Make it a Quadratic Equation

  • Since y = x², substitute y back into the equation
  • Therefore, x² - 5a² = 0 is the quadratic equation


Step 5: Solve the Quadratic Equation

  • Factor the quadratic equation or use the quadratic formula to find the roots
  • Solving the equation will give the values of x that satisfy the original equation



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Solve the following equations by reducing them to quadratic equations:- x²-5a²?
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