Question

A rectangular vegetable garden will have a width that is 2 feet less than the length, and an area of 48 square feet. If x represents the length, then the length can be found by solving the equation: x(x-2)=48 What is the length, x, of the garden?

Answer 1

Answer:

$x {}^{2} - 2x = 48$

$x { }^{2} - 2x - 48 = 0$

using quadratic formula,

$- b \frac{ + }{ - } \sqrt{b {}^{2} - 4ac} \div 2a$

$2 + \sqrt{196} \div 2$

$2 + 14 \div 2$

$x = 8$

or

$x = - 6$