What's the FASTEST Way to Solve Math Equations with Radicals?

[@Shobhamaths]

x=(√7-1) /2
4x^3=5√7-11
4y^3=5√7+11
xy=3/2
x^3-y^3=-11/2
x-y=-1
2x^2+2x-3=0
x=(√7-1) /2

[@robyzr7421]

😮 Superb, you used an Infy Gyan s method in a previous excercise just like me.!! 👍

[@Shobhamaths]

@robyzr7421 Thank you 👍

[@Fjfurufjdfjd]

χ=[(7)^(1/2)-1]/2

[@ShriH-d1o]

2.4.x^3=2√175- 2√121;=> 8x^3=
10√7 ± 22 = √7^3
±1^3 +3√7(±1^2) + 3(√7)^2(±1)=>
=√7 ±1)^3=>
2x=(√7±1); =>
x = (√7 ±1)/2

[@gregevgeni1864]

x = 1/2 •(√7 - 1)
4 x³ = 5√7 - 11
But (√7 -1)³ =7√7-3√7²+3√7-1=10√7-22=
2(5√7-11) => 4 x³ = (√7-1)³/2 =>
x³ =((√7-1)³)/8 => x = 1/2 • (√7-1).

[@RealQinnMalloryu4]

{4x^3+4x^3 ➖ }+242={8x^6+242}=250x^6 8^242x^6 8^1^4^1x^6 2^3^4x^2^3 1^1^1^2^2x^1^3 1^2x^1^3 2x^3 (x ➖ 3x+2).250 175^175 3^4^2^3^3^4^2^3 1^2^2^1^1^3^2^2^1^1 1^1^3^1^2 3^2 (x ➖ 3x+2).

[@НеллиПшено]

Решаем методом устного счета.
4х^3=11(1,2-1)
x^3=0,55
The fastest way.
Good luck!