Difference between a number and its positive square root is 12. Find the numbe
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Answer:
16
Step-by-step explanation:
Let the positive number be x according to question,
x+12=x
⇒x=x−12
Squaring both sides,
⇒x=x2−24x+144
x2−25x+144=0
x2−16x−9x+144=0
x(x−16)−9(x−16)=0
(x−9)(x−16)=0
(x−9)=0 or (x−16)=0
x=9 or x=16
So, the number is 16.
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