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Factorisation Using Algebraic Identities

Solve 3y2 -...

Question

Solve $3 y^{2} - 20 = 160 - 2 y^{2}$

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Solution

$3 y^{2} - 20 = 160 - 2 y^{2}$

$\Rightarrow$ $3 y^{2} + 2 y^{2} = 160 + 20$

$\Rightarrow$ $5 y^{2} = 180$

$\Rightarrow$ $y^{2} = \frac{180}{5}$

$\Rightarrow$ $y^{2} = 36$

$\Rightarrow$ $y = \pm 6$

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