🔥Zeros of a Cubic Equation! 🚀 | Quadratic Equation Trick 😎 #jeemains #jee #maths

Discover a quick trick to solve for the zeros of a cubic equation by using concepts of quadratic equations! 🎯 Perfect for JEE Mains & Advanced aspirants aiming to master every concept! 🧠 Don't miss out on this golden method 💡 to save time and avoid mistakes. 🚀 #mathshorts #quadraticequation #jee2024 #iitpreparation #jeeshorts #maths #jeemaths

[Karunya_]

Answer is 10
(a +b +c )² - 2( ab + bc + ca) = (10)² -- 2(45) = 100 -- 90 = 10

[swetapadmamahapatra]

The correct answer is 10. The equation is in the form (x+a)(x+b)(x+c), a cubic polynomial . So the roots of the equation are -a, -b and -c.
Let these zeroes/roots be α, β, γ respectively. (For convenience)
Now, [(-α)+(-β)+(-γ)]^2 = α^2+β^2 +γ^2 + 2(αβ+ βγ+γα)
From the equation, x^3-10x^2+ 45x -15.
We get by comparing, a=1, b= -10, c= 45, d= -15.
Now, sum of roots [(-α)+(-β)+(-γ)] = -b/a = -(-10)/1=10.
Similarly, (αβ+βγ+γα)= c/a =45/1=45.
Now by substituting these values in the equation above, we get
(10)^2 = α^2+β^2+γ^2 + 2×45
=> α^2+β^2+γ^2= 100-90= 10.
Thank you very much sir😊

[ribhagupta]

Answer 10
We use the formula of
As a, b, c are the root of cubic
By putting the value of s1 s2 s3 from given cubic equation

[creativepassionhobbies]

Answer is 10
We can write a²+b²+c² as (a+b+c)²-2(ab+bc+ca)
Now, a+b+c is 10 (-coefficient of x²) and ab+bc+ca is 45 (coefficient of x)
So, a²+b²+c² = 100- 2(45) = 10.

[SSP-wtcp]

This question is in tallantex class 10 sample paper 😯😯

[Logicaltube]

Sir jee advanced 2023 and 2024 ka PYQS solv. Kra dijiye 🎉

[supercareditz]

Sir answer is 10 sir by comparing co efficients and converting (a+b+c)² to a²+b²+c² and plugging in values

[ommane]

Answer is 10
Please make video on properties of cubic equation

[shobabarath]

10 by  using( a+b+c)^2 formula and relation between coefficients and roots.

[JustDivyanshkumar]

x² ka kya zero h? Coefficient? Lkin aap to kuch aur hi bol rhe th😮😅

[heroff]

Sir aje bhi first hoon pin ker do 😢 wasa answer 10 hai