So we know that the word 'product' means multiplication, and that means that h and 4 are being multiplied. Also, one-fifth of x is another way of saying that one-fifth is being multiplied with x. So then we can construct the equation:
And we can then simplify this by taking out the multiplication sign:
And so since we do not know what x or h is equal to, this is as far as we can go.
Answer:
Step-by-step explanation:
The goal to solving any equation is to have x = {something}. That means we need to get the x out from underneath that radical. It's a square root, so we can "undo" it by squaring. Square both sides because this is an equation. Squaring both sides gives you
Get everything on one side of the equals sign and set the quadratic equal to 0:
Throw this into the quadratic formula to get that the solutions are x = 5 and -8. We need to see if only one works, both work, or neither work in the original equation.
Does ?
and
and 5 = 5. So 5 works. Let's try -8 now:
and
so
-8 = 8? No it doesn't. So only 5 works. Your choice is the third one down.
