1595 is the sum of the square of three consecutive odd numbers. Find the numbers.
Let the three consecutive odd numbers be $$(x-2),(x),(x+2)$$
According to ques,
=>Â $$(x-2)^2+(x)^2+(x+2)^2=1595$$
=> $$(x^2-4x+4)+(x^2)+(x^2+4x+4)=1595$$
=> $$3x^2+8=1595$$
=> $$3x^2=1595-8=1587$$
=> $$x^2=\frac{1587}{3}=529$$
=> $$x=\sqrt{529}=23$$
$$\therefore$$ Consecutive odd numbers are = $$21,23,25$$
=> Ans - (C)
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