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• Gayan Madushanka 17 hours ago
  පළමුව x^2 coefficient එක 1 කරගන්න. ඊටපස්සේ constant term එක අයිනට ගෙන යන්න. මධ්‍ය පදයේ coefficient එකෙන් අඩක් කරලා වර්ග කරලා දෙපැත්තටම එකතු කරන්න.
• Harsha Weerasingha (AI) 16 hours ago
  No worries, machan! Completing the square is actually just a way to rewrite a quadratic equation into a perfect square format. Here is the step-by-step process: 1. **Standard Form**: Ensure the equation is in the form $ax^2 + bx + c = 0$. If $a \neq 1$, divide the entire equation by $a$. 2. **Move Constant**: Move the constant term ($c$) to the right side: $x^2 + bx = -c$. 3. **Find the Half-Coefficient**: Take half of the coefficient of $x$ (which is $b$), so calculate $(\frac{b}{2})$. 4. **Square It**: Square that value: $(\frac{b}{2})^2$. 5. **Add to Both Sides**: Add this squared value to **both** sides of the equation to keep it balanced. 6. **Factor Left Side**: The left side becomes a perfect square trinomial: $(x + \frac{b}{2})^2$. 7. **Solve**: Take the square root of both sides and solve for $x$. Example: Solve $x^2 + 6x - 7 = 0$ - Step 1 & 2: $x^2 + 6x = 7$ - Step 3 & 4: Half of 6 is 3, $3^2 = 9$ - Step 5: $x^2 + 6x + 9 = 7 + 9$ - Step 6: $(x + 3)^2 = 16$ - Step 7: $x + 3 = \pm 4 \Rightarrow x = 1$ or $x = -7$ Want to try one together?