Question

The solution of (2x-1)²=9 is ​

Answer 1

Answer:

$(2x - 1) ^{2} = 9 \\ 4x^{2} - 1 = 9 \\ 4x^{2} = 9 + 1 \\ 4 {x}^{2} = 10 \\ {x}^{2} = \frac{10}{4} \\ {x}^{2} = \frac{5}{2} \\ x = \sqrt{ \frac{5}{2} }$

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Answer 2

$\huge \blue {A᭄nswer}$

$✯ \: (2x-1)²=9$

$☞ \: (2x-1)²=(3)²$

By applying square root on both sides:-

$☞ \: \sqrt{ {(2x - 1)}^{2} } = \sqrt{ {(3)}^{2} }$

$☞ \: 2x - 1 = 3$

$☞ \: 2x = 3 + 1$

$☞ \: 2x = 4$

$☞ \: x = \frac{4}{2}$

$\boxed {x=2}$

Therefore, solution of (2x-1)²=9 is 2