Question

under the QUADRATIC EQUATION(Roots)
If a triangle has an area of 56 sq. inches, with base of 9 inches longer that its altitude, find the length of its base.

Answer 1

Area = 1/2 base x height.

Answer 2

(1/2)(b)(b+9)=56
(b)(b+9)=108
now use the quadratic formula

Answer 3

\[x=\frac{-9\pm \sqrt{513}}{2}\]

Answer 4

It's worth remembering that only positive roots will be valid (since lengths cannot be negative)

Answer 5

@Dalvoron, good point