Question 1178846
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Given: x^3+5x-10=0<br>
Rewrite as x^3=10-5x, and also as x^3+5x=10<br>
Square both sides in the first of those: x^6=100-100x+25x^2<br>
Multiply by x: x^7=100x-100x^2+25x^3<br>
Use that to evaluate the expression we are to evaluate:<br>
x^7+100x^2+25x = 100x+25x^3+25x = 125x+25x^3 = 25(x^3+5x) = 25(10) = 250<br>
ANSWER: 250<br>