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Michaela Duncan
26 May, 04:16
I don't know how to solve y=-x^2 + 14x + - 24
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Jay Lane
26 May, 06:24
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What numbers multiply to get 24 and add to get 14?
6 * 4 = 24; 6 + 4 = / = 14
12 * 2 = 24; 12 + 2 = 14! Yay!
Let's split 14 up, then.
y = - x^2 + 2x + 12x - 24
Now we can just factor by grouping!
-x (x-2) + 12 (x-2)
Now that we have our factored problem (-x+12) (x-2) = y we can plug in 0 for y and see what we get. This is because of the zero product property - if one number is zero, then they will multiply to get zero.
Now we can just solve like two normal equations.
-x + 12 = 0 or x - 2 = 0
- 12 - 12 + 2 + 2
-x = - 12 or x = 2
x = { 12, 2 }
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