SOLUTION: good day,please if a and b are the roots of the quadratic equation x^2-10x+7=0,find the value of a^4-b^4. show working thanks a lot ....

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: good day,please if a and b are the roots of the quadratic equation x^2-10x+7=0,find the value of a^4-b^4. show working thanks a lot ....      Log On


   

Question 1009183: good day,please
if a and b are the roots of the quadratic equation x^2-10x+7=0,find the value of a^4-b^4. show working thanks a lot ....
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The a and b are %2810%2B-+sqrt%28100-4%2A7%29%29%2F2,
%28100%2B-+sqrt%2872%29%29%2F2
%28100%2B-+sqrt%282%2A36%29%29%2F2
%28100%2B-+6sqrt%282%29%29%2F2

highlight_green%2850%2B-+3sqrt%282%29%29


Unfinished. Question now asks for a%5E4-b%5E4.
You might want to try (a^2-b^2)(a^2+b^2).