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Q.
- Identify Structure: Identify the structure of the quadratic equation.The given equation is in the standard quadratic form , where , , and .
- Check Perfect Square: Check if the quadratic is a perfect square trinomial.A perfect square trinomial is of the form , which factors into .Comparing with the perfect square trinomial structure, we see that matches, suggesting that the equation might factor into .
- Factor Equation: Factor the quadratic equation.Since is a perfect square trinomial, it factors as or .
- Solve for x: Solve the factored equation for .Set the factored form equal to zero: .To find the value of , take the square root of both sides: .
- Find Solution: Find the solution to the equation.Add to both sides of the equation: .
