Question

The profit P (in dollars) from selling x calculators is P=25x(-10x+ 250). How many calculators are sold when the profit is $425?

Answer 1

Okay, so this is what I came to. I think that you might need to look through the placement of the problem again and your x's, but other than that, here it is!

Step 1: Simplify both sides of the equation.425=−250x2+6250x

Step 2: Subtract -250x^2+6250x from both sides.425−(−250x2+6250x)=−250x2+6250x−(−250x2+6250x)250x2−6250x+425=0

Step 3: Use quadratic formula with a=250, b=-6250, c=425.x=−b±√b2−4ac2ax=−(−6250)±√(−6250)2−4(250)(425)2(250)x=6250±√38637500500x=252+110√15455 or x=252+−110√15455

Answer:x=252+110√15455 or x=252+−110√15455