SOLUTION: If the diagonals of a rectangle are represented by (2x2 � 8x + 17 )m and ( x2 + 2x � 7 )m, find the value of x. How long is each diagonal?

Question 644219: If the diagonals of a rectangle are represented by (2x2 � 8x + 17 )m and ( x2 + 2x � 7 )m, find the value of x. How long is each diagonal?
Found 2 solutions by unlockmath, MathLover1:
Answer by unlockmath(1688) (Show Source): You can put this solution on YOUR website!
Hello,
Since we know the diagonals are equal in a rectangle we can set up this:
2x^2 � 8x + 17 = x^2 + 2x � 7
Subtract x^2, 2x and add 7:
x^2 -10x +24 =0
Factor:
(x-6)(x-4)=0
Solve for x:
x=6
x=4
We have two possible answers: 6 & 4
Make sense?
RJ
www.math-unlock.com
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The diagonals of a rectangle are congruent.

...find solutions

or

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