Question 87295
X^2+(X+1)^2=4^2
X^2+X^2+2X+1=16
2X^2+2X+1-16=0
2X^2+2X-15=0
USING THE QUADRATIC EQUATION {{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}  THUS:
X=(-2+-SQRT[2^2-4*2*-15])/2*2
X=(-2+-SQRT[4+12])/4
X=(-2+-SQRT124)/4
X=(-2+11.14)/4
X=9.14/4
X=2.285 ANSWER.