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Sagot :
Answer:
y = 20
Step-by-step explanation:
[tex]9 - \sqrt{y - 4} = 5[/tex]
i) move 9 to the right-hand side and change its sign
[tex] - \sqrt{y - 4} = 5 - 9[/tex]
ii) calculate the difference
[tex] - \sqrt{ y - 4} = - 4[/tex]
iii) change the signs on both sides of the equation
[tex] \sqrt{y - 4} = 4[/tex]
iv) square both sides of the equation
[tex]( \sqrt{y - 4} ) {}^{2} = 4 {}^{2} [/tex]
[tex]y - 4 = 4 {}^{2} [/tex]
[tex]y - 4 = 16[/tex]
v) move -4 to the right-hand side and change its sign
[tex]y = 16 + 4[/tex]
vi) add the numbers
[tex]y = 20[/tex]
Answer: y = 20
defined condition is y ≥ 4
[tex]9 - \sqrt{y - 4}=5\\\\<=> \sqrt{y - 4}= 9-5\\\\\\<=>\sqrt{y-4}= 4\\\\\\=> y - 4 = 16\\\\\\<=> y = 16 + 4 = 20[/tex]
Step-by-step explanation:
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