Mathematics & Statistics Guru
30 comments
Review summary
Based on 30 comments, created with AI
Students overwhelmingly praise this teacher's teacher's experience, tests & practice, fees vs value. Many students highlight referred to as 'mathematics & statistics guru', handles...
What students talk about most
Evaluation breakdown
Top Strengths
1. Advanced Problem Solving Skills
2. Expertise in Mathematics & Statistics
3. Preparation for Competitive Exams
Areas to Improve
1. Clarity and Detail in Solutions
2. Step-by-Step Explanation of Complex Derivations
3. Accessibility of Study Material
What students love
“I see at this point, given calculations made (3:27): letting u = (11x + 4)/(7x + 11) and v = -(4x - 7)/(7x + 11) using the above substitutions to set up a system of equations to solve for u and/or v, but ultimately, in either case, solve for x”
2 likes
“With y = x +1, (y -1)(y -5)(y +1)(y +5) = 52 ⇒ (y² -1)(y² -25) = 52 ⇒ y⁴ -26y² -27 = 0 ⇒ (y² +1)(y² -27) = 0 ⇒ y = ±i or y = ±3 √3 ⇒ x = -1 ±i or x = -1 ±3 √3”
2 likes
“A Golden solution!”
1 likes
“√(1-1/x)+√(x-1/x)=x. The detailed steps lead to x=(1+√5)/2 (since x≧1).”
1 likes
“Let terms are a & b; a+b=x; a²-b²=1-x; x(a-b)=1-x; a-b=1/x - 1; (a+b)+(a-b) =2a =x+1/x-1; =2√(1-1/x). Squaring sides leads to x²-x-1=0; => x=(1±√5)/2;”
1 likes
“That a + b = x (1:20): a^2 = 1 - ¹⁄ₓ and b^2 = x - ¹⁄ₓ ->: a^2 - b^2 = (1 - ¹⁄ₓ) - (x - ¹⁄ₓ) = 1 - x = -(x - 1). a - b = (a^2 - b^2)/(a + b) = -(x - 1)/x = -(1 - ¹⁄ₓ) = -(a^2)”
1 likes
“Great question Sir g”
1 likes
“Impressive Solution:”
1 likes
“No doubt an interesting mix of real and complex solutions.”
“Advanced Math for competitive Exams: x(x – 4)(x + 2)(x + 6) = 52; x = ? Let: y = x + 1, x = y – 1. This substitution simplifies the equation to y⁴ – 26y² – 27 = 0, leading to x = – 1 ± 3√3 or x = – 1 ± i.”
What could be better
“An Outstanding Algebraic equation: (91x + 143)³/[(11x + 4)³ – (4x – 7)³] = 13, x ϵ ℜ, x = ? The solution provided is very long and complex, making it hard to follow the steps.”
“It can be represented in the general form [a(a + b) - 1]/(x - a) - [b(a + b) - 1]/(x - b) = x² where a - b = 1. The explanation is too dense and hard to follow without more context.”
“It makes sense to divide each side, given calculations done up to this point (4:21), by x^2, provided x does not equal 0, 10 or 11 (to ensure each denominator remains non-zero). This is a good point, but it highlights a potential oversight in the original explanation.”
“x²= 230/(x-11) -209/(x-10) =21x-1=x²(x-10)(x-11). The solution jumps directly to the answer without showing intermediate steps clearly.”
“Math Olympiad question: [(x² – x – 10)/100x]² + [(x² + x – 10)/100x]² = 1/1000; x =? The solution is very condensed, making it difficult for a student to understand the derivation.”