Phil Cool Math
11 comments
Review summary
Based on 11 comments, created with AI
Students overwhelmingly praise this teacher's teacher personality, teaching quality, teacher's experience. Many students highlight implied helpfulness and a clear desire to simplif...
What students talk about most
Evaluation breakdown
Top Strengths
1. Ability to simplify complex mathematical topics.
2. Provides detailed, step-by-step problem solutions.
3. Engaging video format (for some students).
Areas to Improve
1. Accuracy and generalizability of mathematical solutions.
2. Technical quality of study materials (audio, translation, pacing).
3. Clarity of initial explanations and proactive doubt support.
What students love
“Amazing video!”
3 likes
“√(x) + 12 / √(x) = 7. Let u = √(x). u + 12 / u = 7. This leads to u^2 - 7u + 12 = 0, which factors to (u - 3)(u - 4) = 0. So u=3 or u=4, meaning √(x)=3 or √(x)=4, which gives x=9 or x=16.”
“It's easy to see that 2 is one of the roots. To avoid having to memorize the polynomials for the difference of two cubes, divide the polynomial with exponent three by (x - 2). This gives x^2 + 4x + 4. From this we find two imaginary roots -1 + √3 and -1√3, which together with the real root 2 are the solution.”
“4ˣ - 192 = 0 → 4ˣ = 192 → 4ˣ = 64 * 3. Taking log base 4: xlog₄4 = log₄64 + log₄3. Since log₄4 = 1 and 64 = 4³, x = 3 + log₄3 ≈ 3.792.”
“5^x+1=6^x, (x+1)log5=xlog6. x(log6 - log5)=log5. x= (log5)/ (log6-log5).”
“There is only one solution. That's why you always verify each solution when you square both sides.”
“The final result (not explicitly stated in the exercise) is: +0 - 32 * square root of 2.”
“This explanation really helped me understand the concept better.”
“Phil Cool Math makes complex topics easy to grasp.”
“Could you please explain the initial setup more clearly? I'm lost from the beginning.”
What could be better
“Plot the graph of this function. You will see that the graph passes through the x-axis at 0 and -4. These are the true solutions. Everything else is made up. Essentially, it is a fit for these two numbers.”
2 likes
“Horrible translation. What is a 'lid'? What is an 'asterisk'?”
“A loss of significant digits occurred with log5-log6 (resulting in 2 significant digits).”
“Calculation error of several millions.”
“The method used here is overly complicated for such a simple problem.”
“I found a mistake in the third step of the derivation.”
“The video moves too fast; it's hard to follow without pausing constantly.”
“The audio quality is poor, making it difficult to hear what you're saying.”
“This solution only works for specific cases, not generally.”