Question 614981
x^2+(x+1)^2=100
x^2+(x+1)(x+1)=100
x^2+x^2+2x+1=100
2x^2+2x+1=100
2x^2+2x-99=0
apply the "quadratic formula" to get:
x = {6.55, -7.55}
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details of quadratic formula follows:
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*[invoke quadratic "x", 2, 2, -99 ]