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## 04 QUADRATIC EQUATION

Quadratic equation: A quadratic equation is equation of the form

• Quadratic equation can have at most two roots.

Factorisation method

• Get two linear factors
• Equate each factor with zero,get the roots of

Solution by completing square:

$2{x}^{2}–5x+\frac{25}{8}=–3+\frac{25}{8}$
${\left(\sqrt{2}x–\frac{5}{2\sqrt{2}}\right)}^{2}=\frac{25–24}{8}$
$\left(\sqrt{2}x–\frac{5}{2\sqrt{2}}\right)=±\frac{1}{2\sqrt{2}}$

Solution by formula method:

The roots of quadratic equation

Nature of roots:

#### Probability

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