A few days ago
how do you factor x^2 + 100?
how do you factor x^2 + 100?
Top 3 Answers
A few days ago
Favorite Answer
This problem cannot be factored. However if it was x^2 – 100 then the answer would be (x+10)(x-10) thus by the FOIL method (First, Outside + Inside, Last) it would be x^2-10x+10x-100, or x^2 – 100.
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A few days ago
I’m not entirely sure if you can factor this offhand, but I can tell you how you can try it yourself 🙂
You can use the quadratic equation to help solve for A, B, and C (the coefficients of the equation).
The quadratic equation is:
(-b +- sqrt(b^2 – 4ac)) / 2a
For your equation, A = 1, B = 0, and C = 100. Actually I can tell you now that it doesn’t have any normal roots as the quadratic equation isn’t solvable. Looking at the discriminant, b^2 – 4ac = 0^2 – 4(1)(100) = -400. You can’t take the square root of a negative number.
I believe you can still solve using complex numbers (the square root of -1 is i, I think) but it’s been too long since I’ve done that. Hopefully someone else can fill in that blank.
Good luck!
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7 years ago
(x+10i)(x-10i)
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