Given: #160;(3x #160; #8722; #160;5) #160;(2x #160;+ #160;3) #160;= #160;0 #8658; #160;3x #160; #8722; #160;5 #160;= #160;0 #1 ...

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Zeroes of a Polynomial

3 x-52 x+3=0

Question

Solve $(3 x - 5) (2 x + 3) = 0$

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Solution

Given: $(3 x - 5) (2 x + 3) = 0$
$\Rightarrow 3 x - 5 = 0$ or $2 x + 3 = 0$
$\Rightarrow 3 x = 5$ or $2 x = - 3$
$x = \frac{5}{3}$ or $x = \frac{- 3}{2}$
Hence, $\frac{5}{3}$ and $\frac{- 3}{2}$ are the roots of the given equation.

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