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Reducible method of chapter quadratic equation.
Given: Reducible method
To explain: Here we have to explain reducible method.
Solution:
Let say we have an equation:
$x^{4} \ –\ 10x^{2} \ +\ 9\ =\ 0$
The equation can be re-written as $x^{4} \ –\ x^{2} \ –\ 9x^{2} \ +\ 9\ =\ 0$.
Next, we get $x^{2}\left( x^{2} \ -\ 1\right) \ –\ 9\left( x^{2} \ -\ 1\right) \ =\ 0$, which finally gives us $\left( x^{2} \ -\ 1\right)\left( x^{2} \ -\ 9\right) \ =\ 0$.
Now, equating both factors to zero gives $x^{2} \ =\ 1$ and $x^{2} \ =\ 9$.
From these two equations, we get four solutions: $1,\ –1,\ 3,\ and\ –3$.
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