Set up a polynomial equation that models the problem below. Solve the equation and show your solution.A triangular garden in the shape of a right triangle has an area of 60m2. If the longest side is 2 meters longer than the next shorter side, which is x meters long, derive the polynomial equation x3 + x2 – 3600=0 and then solve for x.

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter8: Polynomials

Section8.6: Factoring Quadratic Trinomials

Problem 60PFA

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Set up a polynomial equation that models the problem below. Solve the equation and show your solution.

A triangular garden in the shape of a right triangle has an area of 60m². If the longest side is 2 meters longer than the next shorter side, which is x meters long, derive the polynomial equation x³ + x² – 3600=0 and then solve for x.

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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