IDNStudy.com, ang iyong platform ng sanggunian para sa malinaw na mga sagot. Makakuha ng hakbang-hakbang na mga gabay para sa lahat ng iyong teknikal na tanong mula sa mga miyembro ng aming komunidad na may kaalaman.

When the length of each side of
square is increased by 7 in., its area is
increased to 189 in^2. Find the length
of the original square.


Sagot :

Let original side be x
New side measurement increased by 7:  x + 7
New area: 189 sq inches

Area of square = s
²
189 = (x+7)²
189 = x² + 14x + 49

x
² + 14x + 49 -189 = 0

x
² + 14x - 140 = 0

Solve by quadratic formula. This can not be solved by factoring because it has no rational factors.

Please see attached handwritten solution :-)

View image Аноним