SOLUTION: 80. Diagonal brace. The width of the rectangular gate id 2 meters (m) longer than its heights. The diagonal brace measures sqrt 6 m. find the width and height. X+2 length heigh

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: 80. Diagonal brace. The width of the rectangular gate id 2 meters (m) longer than its heights. The diagonal brace measures sqrt 6 m. find the width and height. X+2 length heigh      Log On

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Question 59844: 80. Diagonal brace. The width of the rectangular gate id 2 meters (m) longer than its heights. The diagonal brace measures sqrt 6 m. find the width and height.
X+2 length height x diagonal is sqrt 6 m
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
6^2=X^2+(X+2)^2
36=X^2+X^2+4X+4
2X^2+4X+4-36=0
2X^2+4X-32=0
X^2+2X-16=0USING THE QUADRATIC EQUATION WE GET
X=(-B+-SQRT[B^2-4AC])/2A
X=(-2+-SQRT[4-4*1*-16)/2*1
X=(-2+-SQRT[4+64])/2
X=(-2+-SQRT68)/2
X=(-2+-8.246)/2
X=(-2+8.246)/2
X=6.246/2
X=3.123 SOLUTION
X=(-2-8.246)/2
X=-10.246/2
X=-5.123 SOLUTION