Solve equations using factorization method:
$(2 x - 3)^{2} = 49$

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Solution

Step : Factorising the equation:
$(2 x - 3)^{2} = 49$
Taking square root on both sides, we get
$2 x - 3 = \pm 7$
$\Rightarrow 2 x - 3 = 7 o r 2 x - 3 = - 7$
$\Rightarrow 2 x = 10 o r 2 x = - 4$
$∴ x = 5 o r x = - 2$

Hence, the required answer is $x = 5 o r x = - 2$

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