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<ol class="abc-list"><li data-list-item-id="item-1780476090140-ib1yaml45"><div class="list-item-paragraph">By completing the squares:<br>When the quadratic equation is in the general form \(ax^2 + bx + c = 0\)<br><strong>Step I: Factorise the coefficient \(a\)<br></strong>\( a \left[ x^2 + \frac{b}{a}x \right] + c = 0\)<br><strong>Step II: Add and Subtract \( \left( \frac{b}{2a} \right)^2 \)<br></strong>\(a \left[ x^2 + \frac{b}{a}x + \left( \frac{b}{2a} \right)^2 - \left( \frac{b}{2a} \right)^2 \right] + c = 0\)<br><strong>Step III: Express ..[terms?].. as a complete square<br></strong>\(a \left[ \left(x + \frac{b}{2a} \right)^2 - \left( \frac{b}{2a} \right)^2 \right] + c = 0 \)<br>\(a \left(x + \frac{b}{2a} \right)^2 - a \left( \frac{b}{2a} \right)^2 + c = 0 \)<br>\(a \left(x + \frac{b}{2a} \right)^2 - \frac{b^2}{4a} + c = 0 \)</div></li><li data-list-item-id="item-1781430744893-p92to6zqx"><div class="list-item-paragraph">By quadratic formula:<br>The quadratic equation must be expressed in the general form of \(ax^2 + bx + c = 0\), where&nbsp;\(a \neq 0\)<br>using the quadratic formula, \(x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a} \)</div></li></ol>

By completing the squares:
When the quadratic equation is in the general form \(ax^2 + bx + c = 0\)
**Step I: Factorise the coefficient \(a\)
**\( a \left[ x^2 + \frac{b}{a}x \right] + c = 0\)
**Step II: Add and Subtract \( \left( \frac{b}{2a} \right)^2 \)
**\(a \left[ x^2 + \frac{b}{a}x + \left( \frac{b}{2a} \right)^2 - \left( \frac{b}{2a} \right)^2 \right] + c = 0\)
**Step III: Express ..[terms?].. as a complete square
**\(a \left[ \left(x + \frac{b}{2a} \right)^2 - \left( \frac{b}{2a} \right)^2 \right] + c = 0 \)
\(a \left(x + \frac{b}{2a} \right)^2 - a \left( \frac{b}{2a} \right)^2 + c = 0 \)
\(a \left(x + \frac{b}{2a} \right)^2 - \frac{b^2}{4a} + c = 0 \)

By quadratic formula:
The quadratic equation must be expressed in the general form of \(ax^2 + bx + c = 0\), where \(a \neq 0\)
using the quadratic formula, \(x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a} \)

Solving Quadratic Equations

Solving Quadratic Equations