(1) A natural number is greater than three times its square root
by 4. Find the number. Check your answer
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Answer:
let the number be'x'
x-4=3√x
squaring on both sides,
x²+16-8x=9x
x²-17x+16=0
x²-16x-1x+16=0
x(x-16)-1(x-16)=0
(x-1)(x-16)=0
therefore, the number is 1 or 16
Step-by-step explanation:
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