Question

the question:The diagonals of an isosceles trapezoid are labeled 4x² and 8x+5. Find the value(s) of x.
my response :4x^2=8x+5. Set 4x^2-8x-5 equal to 0, and factor it into (2x+1)(2x-5). From that you can conclude that x=-1/2 or x=5/2
is it understandable i just started practicing these problems yesterday so i might be off

Answer 1

my answer x=2.5
x=-.5

Answer 2

Your approach is 100% correct. Just one thing though - the solution cannot be negative as the length of a diagonal cannot be negative. So only the positive solution is the correct answer.

Answer 3

ALRIGHT THANK YOU

Answer 4

yw