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24-07-2018
Mathematics

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Find the value of x in the equation 2√ x + 20 = 15 + 3√ x . A. 1 B. 25 C. 16 D. –5

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24-07-2018

[tex]\text{The domain:}\\D:x\geq0\\\\2\sqrt{x}+20=15+3\sqrt{x}\ \ \ |-20\\\\2\sqrt{x}=-5+3\sqrt{x}\ \ \ \ |-3\sqrt{x}\\\\-\sqrt{x}=-5\ \ \ |\text{change the signs}\\\\\sqrt{x}=5\ \ \ |\text{square both side}\\\\x=25[/tex]

Answer: B. 25

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