SOLUTION: Find the error in each of the following and provide an explanation of the mistake made.
a). 𝑥2+25= (𝑥+5)(𝑥+5)
b). 10𝑥3+15𝑥2+5
Algebra ->
Quadratic Equations and Parabolas
-> SOLUTION: Find the error in each of the following and provide an explanation of the mistake made.
a). 𝑥2+25= (𝑥+5)(𝑥+5)
b). 10𝑥3+15𝑥2+5
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Question 999760: Find the error in each of the following and provide an explanation of the mistake made.
a). 𝑥2+25= (𝑥+5)(𝑥+5)
b). 10𝑥3+15𝑥2+5𝑥 = 5𝑥(2𝑥2+3𝑥)
You can put this solution on YOUR website! Find the error in each of the following and provide an explanation of the mistake made.
a). 𝑥^2 + 25 = (𝑥+5)(𝑥+5)
If you FOIL the two factors you have you get: x^2+10x+25,
x^2 + 25 does not have any real roots
:
b). 10𝑥^3+15𝑥^2+5𝑥 = 5𝑥(2𝑥^2+3𝑥) it should be 5x(2x^2 + 3x + 1)
:
c). 𝑥^2 − 2𝑥 + 24 = (𝑥−6)(𝑥+4) if you FOIL this you get x^2 - 2x - 24 (-6*4)
equation does not have any real roots
You can put this solution on YOUR website!
a).
=> this is not equal, because is the sum of squares and the rule for factoring the sum of squares: can be factorized as
if your factors were , it would work because
b).
....missing one more term in parentheses
c).
=> multiply =>; as you can see ; so, here we will have complex solutions again
