Kaydye Kaydye
  • 14-03-2018
  • Mathematics
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Square root of 15-n = square root of n/4

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scarlsen20p5jxb3
scarlsen20p5jxb3 scarlsen20p5jxb3
  • 14-03-2018
[tex]\sqrt{15-n}[/tex]=[tex]\sqrt{\frac{n}{4}}[/tex]
Square both sides. Now
15-n=[tex]\frac{n}{4}[/tex]
Multiply both sides by 4:
4(15-n)=n
Distribute
60-4n=n
Add 4n to both sides:
60=5n
Divide both sides by 5
12=n

Check:
[tex]\sqrt{15-12}[/tex]=[tex]\sqrt{\frac{12}{4}}[/tex]
[tex]\sqrt{3}[/tex]=[tex]\sqrt{3} [/tex]
Which is true.
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