If \( ? x^{3}+a x^{2}+b x+4=0(a \) and b are positive real numbers)... VIDEO
If \( ? x^{3}+a x^{2}+b x+4=0(a \) and b are positive real numbers) has three real roots.
\( \mathrm{P} \)
The minimum value of \( b^{3} \) is
W
(a) 432
(b) 864
(c) 1728
(d) None of these
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-03-21 If \( n \) is an odd integer greater than or equal to 1 , the value... 2023-03-21 \( a b, c \) are three positive numbers and \( a b c^{2} \) has the... 2023-03-21 Let \( S_{n}(1 \leq n \leq 9) \) denotes the sum of \( n \) terms o... 2023-03-21 If \( x+y+z=a \) and the minimum value of \( \frac{a}{x}+\frac{a}{y... 2023-03-21 Suppose the cubic \( x^{3}-p x+q=0 \) has three distinct real roots... 2023-03-21 Let \( a, b, c, p, q \) be real numbers. Suppose \( \alpha, \beta \... 2023-03-21 How many real solutions does the equation
\( \mathrm{P} \) \( x^{7}... 2023-03-21 I \( f \alpha, \beta, \gamma, \delta \) are the roots of the equati... 2023-03-21 If \( A_{1}, A_{2}, A_{3}, \ldots, A_{n}, a_{1}, a_{2}, a_{3}, \ldo... 2023-03-21 If \( \alpha, \beta \) are the roots of \( a x^{2}+b x+c=0 \) and \... 2023-03-21 If \( ? x^{3}+a x^{2}+b x+4=0(a \) and b are positive real numbers)... 2023-03-21 Let \( a, b \in R \) and \( a^{2}+b^{2} \neq 0 \).
Suppose \( S=\le... 2023-03-21 If \( 2 x^{3}+a x^{2}+b x+4=0(a \) and \( b \) are positive real
\(... 2023-03-21 If the equation \( (1+m) x^{2}-2(1+3 m) x+(1+8 m)=0 \), where \( m ... 2023-03-21 Let \( f(x)=x^{2}+b x+c \) and \( g(x)=x^{2}+b_{1} x+c_{1} \).
P
Le... 2023-03-21 Let \( \quad S=S_{1} \cap S_{2} \cap S_{3} \), where
\[
\begin{arra... 2023-03-21 For any integer \( k \), let \( \alpha_{k}=\cos \left(\frac{k \pi}{... 2023-03-21 Let \( \omega \neq 1 \) be a complex cube root of unity.
If \( \lef... 2023-03-21 Let \( z_{k}=\cos \left(\frac{2 k \pi}{10}\right)+i \sin \left(\fra... 2023-03-21 Let \( \quad S=S_{1} \cap S_{2} \cap S_{3} \), where
\[
\begin{arra... 2023-03-21 Let complex numbers \( \alpha \) and \( \frac{1}{\bar{\alpha}} \) l...