Divide 32 into two parts such that the sum of the square of the parts is 674. What is the value of the parts?
Let the first part = $$x$$ and second part = $$(32 - x)$$
According to ques, => $$(x)^2 + (32 - x)^2 = 674$$
=> $$x^2 + (x^2 + 1024 - 64x) = 674$$
=> $$2x^2 - 64x + 1024 - 674 = 0$$
=> $$x^2 - 32x + 175 = 0$$
=> $$x^2 - 25x - 7x + 175 = 0$$
=> $$x(x-25) - 7(x-25) = 0$$
=> $$(x-25)(x-7) = 0$$
=> $$x = 25,7$$
=> Ans - (C)
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