SOLUTION: 1.)Write a quadratic equation in factored form to model the given problem. Be sure to write the entire equation. The height of a triangle is 4 more than the base, and the area o

Question 823280: 1.)Write a quadratic equation in factored form to model the given problem. Be sure to write the entire equation.
The height of a triangle is 4 more than the base, and the area of the triangle is 6 square units. Find the length of the base. Let x = the length of the base.

2.)2.) 1/5x^2=x-4/5
{-1, -4}
{1, -4}
{1, 4}
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1.)Write a quadratic equation in factored form to model the given problem. Be sure to write the entire equation.
The height of a triangle is 4 more than the base, and the area of the triangle is 6 square units. Find the length of the base. Let x = the length of the base.
======
Area = (1/2)base*height
6 = (1/2)x*(x+4)
x^2+4x = 12
x^2 + 4x -12 = 0
Factor::
(x+6)(x-2) = 0
Positive solution:
x = 2 (length of the base)
----------------------------------
2.)
1/5x^2=x-4/5
x^2 = 5x - 4
x^2 - 5x + 4 = 0
Factor:
(x-4)(x-1) = 0
x = 4 or x = 1
=======================
Cheers,
Stan H.
===========

{-1, -4}
{1, -4}
{1, 4}

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