What are some interesting math problems to explore and solve?

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Please look for 1) golden rectangle 2) Maguval squares
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Should I stop my tuitions before 2 months of the board exam CBSE class 10?
NOT necessarily. if u use ur that precious time properly. its better to b with ur teacher till end.
Kumarpalaksha
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In a class test, the sum of marks obtained by P in Mathematics and Science is 28. Had he got 3 more marks in Mathematics and 4 marks less in Science, the product of marks obtained in the two subjects would have been 180? Find the marks obtained in two subjects separately.
Let the no. of marks obtained in Maths = x & no. of marks obtained in Science = 28-x It is given that (x+3)(28-x-4) = 180 (x+3)(24-x)=180 24x-x2+72-3x=180 x2-21x+108 = 0 x2-12x-9x+108=0 x(x-12)-9(x-12)=0 (x-9)(x-12)=0 therefore...
Suresh
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Is the tuition necessary in class 9?
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If the zeroes of the polynomial f(x) = x3 – 12x2 + 39x + a are in AP, find the value of a.
Let p-1,p,p+1 be the roots of given polynomial Now p-1+p+p+1=-b/a1 (P-1)p(p+1)=-d/a1 Compare given polynomial with a1x^3+bx^2+cx+d=0 We get a1=1, b=-12, c=39, d=a 3p=-(-12) P=12/3=4 Therefore (4-1), 4,...
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