Question

Claire and Richard are both artists who paint canvas. Claire uses the polynomial 50x^2+250 to decide how much to charge for her paintings. Richard uses the polynomial 40x^2+350 to decide how much to charge for his paintings.In each polynomial x is the height of the painting in feet. To the nearest tenth for what height will both Claire and Richard charge the same amount for a painting?

Answer 1

3.2 ft

Explanation:

50x²+250=40 x²+350

50x²-40x²=350-250

10x²=100

x²=100/10=10

x=√10≈3.1623≈3.2 ft