Question
Solve the following quadratic equations by factorisation: 3x² - x - 10 = 0
✓
Answer
$\begin{array}{l}
\quad 3 x^2-x-10=0 \\
\therefore 3 x^2-6 x+5 x-10=0 \\
\therefore 3 x(x-2)+5(x-2)=0 \\
\therefore(3 x+5)(x-2)=0 \\
\therefore(3 x+5)=0 \text { or }(x-2)=0 \\
\therefore x=-\frac{5}{3} \text { or } x=2
\end{array}$
$\therefore-\frac{5}{3}$, and 2 are the roots of the given quadratic equation.
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