Question

(x+5)^2 + 20^2 = 45^2

Answer 1

(x+5)²+20²=45²
x²+10x+25+400=2025
x²+10x-1600=0
D=10²-4*189*(-1600)=100+6400=6500=(10√65)²
$x_1= \frac{-10- \sqrt{6500} }{2*1} = \frac{-10-10 \sqrt{65} }{2} = \frac{10(-1-\sqrt{65}) }{2} =5(-1-\sqrt{65})= \\ =-5-5\sqrt{65} \\ x_2= \frac{-10+ \sqrt{6500} }{2*1} = \frac{-10+10 \sqrt{65} }{2} = \frac{10(-1+\sqrt{65}) }{2} =5(-1+\sqrt{65})= \\ =5\sqrt{65}-5$