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How is mathematics done?

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Mathematics is done with curiousity. Why and how. This curiosity one day developes love for mathematics and look for other possible methods to get to the solution that's the beauty you will surely enjoy in maths and teaching fruits takes time and efforts
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Find the mean proportion of 25, 64?
Mean proportion = square root of (25*64) = 40 Ans.
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Any easy method to find square of numbers?

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Had Ravita scored 10 more marks in her Mathematics test out of 30 marks, 9 times these marks would have been the square of her actual marks. How many marks did she get in the test?
Let Ravita's score be x out of 30. We first form an equation based on the information provided in the question. The equation turns out to be 9(x+10)=x^2 -> x^2-9x-90=0 -> (x-15)(x+6)=0 SO, the possible...
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Simple interest=p×r×t/100 Compound interest=amount-sum

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