asked 130k views
3 votes
(x+1)^2+x^2=25 Solve the equation to find the dimensions of the given shape. How long is the shorter leg?

1 Answer

4 votes

Answer:

3

Explanation:

(x + 1)^2 + x^2 = 25

The shorter leg is x.

The longer leg is x + 1.

The hypotenuse is 5.

x² + 2x + 1 + x² = 25

2x² + 2x - 24 = 0

x² + x - 12 = 0

(x + 4)(x - 3) = 0

x + 4 = 0 or x - 3 = 0

x = -4 or x = 3

The shorter leg is x and its length is 3.

answered
User Manuel Popp
by
8.3k points

No related questions found

Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.