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Find the value of x?
How to solve √x-1 + √x+2 = 3
In this video, we'll show you How to Solve Math Olympiad Question A Nice Radical Equation √x-1 + √x+2 = 3 in a clear , fast and easy way. Whether you are a student learning basics or a professtional looking to improve your skills, this video is for you. By the end of this video, you'll have a solid understanding of how to solve math olympiad exponential equations and be able to apply these skills to a variety of problems.
#matholympiad #maths #math #algebra

Опубликовано:

 

16 окт 2024

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Комментарии : 17   
@sureshbabu3732
@sureshbabu3732 3 дня назад
Excellent
@SALogics
@SALogics 3 дня назад
Thank you so much 😀
@9허공
@9허공 День назад
=> √(x - 1) + √(x + 2) = 3 ---(1), multiplying √(x - 1) - √(x + 2) to both sides => [√(x - 1) + √(x + 2)] * [√(x - 1) - √(x + 2)] = 3 * [√(x - 1) - √(x + 2)] => (x - 1) - (x + 2) = -3 = 3[√(x - 1) - √(x + 2)] => √(x - 1) - √(x + 2) = -1 ---(2) => (1) + (2) => 2√(x - 1) = 2 => √(x - 1) = 1 => x = 2
@SALogics
@SALogics День назад
Very nice trick! ❤
@CharlesChen-el4ot
@CharlesChen-el4ot 4 дня назад
3:59 Mutiply folloeing at two side (x+2)^1/2 -(x-1)^1/2 3=3* ((x+2)^1/2-(x-1)^1/2) ((x+2)^1/2-(x-1)^1/2'= 1 2(x+2)^1/2 = 4 x + 2 = 4 x = 2
@SALogics
@SALogics 4 дня назад
Very nice trick! ❤
@ChavoMysterio
@ChavoMysterio 2 дня назад
√(x-1)+√(x+2)=3 3-√(x-1)=√(x+2) Domain: 1≤x≤10 3-√(x-1)=√(x-1+3) Let y=x-1 3-√y=√(y+3) Let z=√y, z²=y 3-z=√(z²+3) z²-6z+9=z²+3 9-6z=3 -6z=-6 x=1 √y=1 y=1 x-1=1 x=2 ❤
@SALogics
@SALogics День назад
Very nice trick! ❤
@LITHICKROSHANMS-gw2lx
@LITHICKROSHANMS-gw2lx 4 дня назад
My solution √(x-1)+√(x+2)=3 √(x-1)+√(x+2)=1+2 √(x-1)+√(x+2)=√(1)+√(4) Modifying the structure of RHS √(x-1)+√(x+2)=√(2-1)+√(2+2) Now comparing the structure of LHS & RHS We get, x=2
@SALogics
@SALogics 3 дня назад
Very nice trick! ❤
@prollysine
@prollysine 4 дня назад
let u=x-1 --> x+2=u+3 , (V(u+3))^2=(3-Vu)^2 , u+3=9-6Vu+u , 6Vu=6 , Vu=1 , (Vu)^2=1^2 , u=1 , x-1=1 , solu , x=2 ,
@SALogics
@SALogics 4 дня назад
Very nice trick! ❤
@prollysine
@prollysine 4 дня назад
@@SALogics Thanks!
@panos74818
@panos74818 3 дня назад
x=34/9
@SALogics
@SALogics 3 дня назад
Solution is x=2 ❤
@panos74818
@panos74818 3 дня назад
@@SALogics rigt
@panos74818
@panos74818 3 дня назад
There is also a solid way
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