Question

find the zeros of x to the power 2 + X and verify the relationship between the zeros and its coefficients

Answer 1

Hey there!

x² +x = 0
x ( x + 1) = 0
So, x = 0, - 1


Verification,
Let 0 be alpha and - 1 be beta.


$sum \: = \: \frac{ - b}{a} \\ \alpha + \beta = \frac{ - 1}{1} \\ 0 + ( - 1) = - 1 \\ - 1 = - 1 \\ \\ product = \frac{c}{a} \\ \alpha \beta = \frac{0}{1} \\ 0 \times - 1 = 0 \\ 0 = 0$

Hope it help