I'm in a hurry to get home.
My car is almost out of gas.
I pull into a gas station.
I have $10 in my pocket.
Gas is selling for $2.36⁹ per gallon.
How many gallons can I buy.
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Even better:
My car gets 25 miles to the gallon.
How many miles can I buy ?
while excluding 0, the product and quotient is positive if operating between same sign, otherwise if we operating different sign will resulted negative.
DONT DELETE MY ANSWER IM GOING TO HELP HIM/HER
Answer:

Step-by-step explanation:
Given
, start by squaring both sides to work towards isolating
:

Recall
and
:

Isolate the radical:

Square both sides:

Expand using FOIL and
:

Move everything to one side to get a quadratic:

Solving using the quadratic formula:
A quadratic in
has real solutions
. In
, assign values:

Solving yields:

Only
works when plugged in the original equation. Therefore,
is extraneous and the only solution is 