Tutormate > CBSE Syllabus-Class 10th Maths > Quadratic equation

• 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:

Nature of roots: