solve following equation
(√2-1 - 1/√2-1)^3
Answers
Answered by
1
Step-by-step explanation:
Answer:
3x^2-3\sqrt{2}x+13x
2
−3
2
x+1
Step-by-step explanation:
We have been given the two roots as \sqrt{2}
2
and \frac{1}{3}
3
1
We can find easily find the required quadratic equation with the given sum and product of the roots.
Any equation is in the form:-
x² - Sx + P = 0
Here,
S = Sum of Roots
P = Product of Roots
Substitute the values:-
x^{2}-(\sqrt{2})x+\dfrac{1}{3} =0x
2
−(
2
)x+
3
1
=0
Taking the LCM:-
\dfrac{3x^{2}-3\sqrt{2}x+1}{3}=0
3
3x
2
−3
2
x+1
=0
Multiply the equation with a constant 'K':-
K\left(\dfrac{3x^{2}-3\sqrt{2}x+1}{3}\right)=0K(
3
3x
2
−3
2
x+1
)=0
Let K = 3
So, the equation becomes:-
3x^2-3\sqrt{2}x+1=03x
2
−3
2
x+1=0
This is the required answer
Answered by
0
Answer:
use calculator the ans is 0
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