Let \( \mathrm{a}, \mathrm{b} \) and \( \mathrm{c} \) be distinct non-zero real numbers such tha... VIDEO
Let \( \mathrm{a}, \mathrm{b} \) and \( \mathrm{c} \) be distinct non-zero real numbers such that \( \frac{1-a^{3}}{a}=\frac{1-b^{3}}{b}=\frac{1-c^{3}}{c} \). The value of \( \left(a^{3}+b^{3}+c^{3}\right) \) is
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-07-03 Let \( a, b \in \mathrm{R} \) be such that the equation \( a x^{2}-2 b x+15=0 \) has a repeated ... 2023-07-03 Let \( \mathrm{p} \& \mathrm{q} \) are real numbers such that \( (\tan p-1)^{3}+2019 \) \( (\tan... 2023-07-03 If the sum of the squares of the reciprocals of the roots \( \alpha \) and \( \beta \) of the eq... 2023-07-03 If the quadratic equation \( x^{2}+(2-\tan \theta) x-(1+\tan \theta)=0 \) has two integral roots... 2023-07-03 If \( a, b, c \), be the roots of the equation \( x^{3}+m x+n=0 \), then
\[
\frac{6\left(a^{5}+b... 2023-07-03 If \( a+b+c=0, a^{2}+b^{2}+c^{2}=4 \), then \( a^{4}+b^{4}+c^{4} \) 2023-07-03 Let \( f(x) \) be the remainder when \( p(x)=x^{73}-2 x^{6}+3 x^{3} \) is divided by \( x^{4}\le... 2023-07-03 If the fraction \( \frac{x^{3}+(a-10) x^{2}-x+a-6}{x^{3}+(a-6) x^{2}-x+a-10} \) reduces to quoti... 2023-07-03 If the cubic \( 2 x^{3}-9 x^{2}+12 x+k=0 \) has two equal roots then maximum value of \( |k| \) is 2023-07-03 If \( a, b \in R \) such that \( a+b=1 \) and \( (1-2 a b)\left(a^{3}+\mathrm{b}^{3}\right)=12 \... 2023-07-03 Let \( \mathrm{a}, \mathrm{b} \) and \( \mathrm{c} \) be distinct non-zero real numbers such tha... 2023-07-03 The quadratic equation \( x^{2}+m x+n=0 \) has roots which are twice those of \( x^{2}+p x+m=0 \... 2023-07-03 Let \( a, b \) and be real numbers which satisfy the equation \( a+\frac{1}{b c}=\frac{1}{5}, b+... 2023-07-03 All the value of \( k \) for which the quadratic polynomial \( f(x) \) \( =-2 x^{2}+k x+k^{2}+5 ... 2023-07-03 \( a, b, c \) are real such that \( a+b+c=3 \) and \( \frac{1}{a+b}+\frac{1}{b+c}+\frac{1}{c+a}=... 2023-07-03 Comprehension
Consider the equation \( x^{4}+ \) \( 2 a x^{3}+x^{2}+2 a x+1=0 \), where \( a \in... 2023-07-03 If the equation whose roots are the squares of the roots the cubic equation \( x^{3}-a x^{2}+b x... 2023-07-03 If \( \sqrt{\sqrt{\sqrt{x}}}=\sqrt[4]{\sqrt[4]{\sqrt[4]{3 x^{4}+4}}} \), then the value of \( x^... 2023-07-03 Comprehension
Consider the inequality \( 9^{x}-a 3^{x}-a+3 \leq 0 \), where a is real parameter.... 2023-07-03 Comprehension
Consider the equation \( x^{4}-\lambda x^{2} \) \( +9=0 \).
If the equation has on... 2023-07-03 In vertices of \( \triangle A B C \) lie on \( y=f(x)=a x^{2}+b x+c \). The \( \triangle A B C \...