This week in math, we focused on solving quadratic equations using our previously learnt skill of factoring! This taught us how to find solutions and verify those answers.
Solving quadratic equations with factoring looks something like this… you must always have an equals sign for an equation!:
x^2 + 15x + 56 = 0
This would factor into —> (x + 7)(x + 8) = 0
Having this equation now, we would replace the x with whatever equals to 0. So for (x + 7), we would want our x to equal -7. Therefore this equation would be:
(-7 + 7)(-8 + 8) = 0
Now that we have this we know…
x1 = -7, x2 = -8.
Now we can simply go back and insert these into the x spots to verify!
My biggest mistake ‘s this week were always made when we had to find solutions with variables in the factoring, so the solutions weren’t perfect, but were fractions. This is factors such as (2 – 5x) = 0.
To find this we have to do some simple algebra.
2 – 5x = 0
-2 -2
-5x = -2
-5x/-5 = -2/-5
now that the -5 has been canceled out, we can go simplify!
x = 2/5

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