SOLUTION: Could you please help me answer this problem using quadrati equations: (p-3)(p-4)=42 Thanks

Question 134647: Could you please help me answer this problem using quadrati equations:
(p-3)(p-4)=42

Thanks
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
(p-3)(p-4)=42
p^2-7p+12=42
p^2-7p-30=0
(p-10)(p+3)=0
p=10, p=-3
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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=169 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 10, -3. Here's your graph:

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