An equation which one's root is x = 2 + 3 + 5 and coefficients...

Ariana Welch

Ariana Welch

Answered

2022-11-26

An equation which one's root is x = 2 + 3 + 5 and coefficients are integer.
How many equation we can write for it?

Answer & Explanation

Damion Ray

Damion Ray

Expert

2022-11-27Added 9 answers

One way is :
x = 2 + 3 + 5 x 5 = 2 + 3 ( x 9 5 = 2 + 3 ) 2 x 2 + 5 2 5 x = 2 + 3 + 2 6 x 2 2 5 x = 2 6 ( x 2 2 5 x = 2 6 ) 2 x 4 + 20 x 2 4 5 x 3 = 24 ( x 4 + 20 x 2 24 ) 2 = ( 4 5 x 3 ) 2

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