SOLUTION: a boy buys x eggs at (x-8) cents each and (x-2) rashers of bacon at (x-3) cents each. if the total bill is $1.75, how many eggs does he buy?

Question 180850: a boy buys x eggs at (x-8) cents each and (x-2) rashers of bacon at (x-3) cents each. if the total bill is $1.75, how many eggs does he buy?
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
x(x-8)+(x-2)(x-3)=175
x^2-8x+x^2-5x+6=175
2x^2-13x-169=0
x=13
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Ed
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Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=1521 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 13, -6.5. Here's your graph:

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