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Solve the Following Quadratic Equations by Factorization: `(2x – 3)^2 = 49` -

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प्रश्न

Solve the following quadratic equations by factorization: 

`(2x – 3)^2 = 49` 

 

उत्तर

(2x – 3)^2 = 49
Taking square root on both sides
2x – 3 = ± 7
When 2x – 3 = 7 ⟹ 2x = 10 ⟹ x = 5
And, when 2x – 3 = – 7 ⟹ 2x = – 4 ⟹ x = – 2

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