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Strike441 [17]
3 years ago
7

(2x+3)²=125 find xwith full solution please​

Mathematics
1 answer:
Schach [20]3 years ago
7 0

Answer:

<em>x = ± ( 5√5 - 3 ) / 2</em>

Step-by-step explanation:

We are given the equation ( 2x + 3 )² = 125;

( 2x + 3 )^{ 2 }  = 125 - Take Square Root on Either Side,\\| 2x + 3 | = \sqrt{ 125 } - Simplify Square Root of 125,\\\\| 2x + 3 | = \sqrt{ 5 * 25 } - Simplify Further,\\| 2x + 3 | = 5\sqrt{ 5 } - Take | |,\\\\2x + 3 = 5\sqrt{ 5 } , and , 2x + 5 = - 5\sqrt{ 5 } - Algebra, \\2x = 5\sqrt{ 5 } - 3 , and , 2x = - 5\sqrt{ 5 } - 3 - Divide Either Side by 2\\\\x = ( 5\sqrt{ 5 } - 3 ) / 2, and , x = ( - 5\sqrt{ 5 } - 3 ) / 2\\Conclusion ; x = ( + / - 5\sqrt{ 5 } - 3 ) / 2

<em>Solution ; x = ± ( 5√5 - 3 ) / 2</em>

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Step-by-step explanation:

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