Fill in the blanks to make a quadratic whose roots are $1$ and $-1.$

x^2 + ___ x + ___

AnswerscorrectIy Jul 18, 2024

#2**+1 **

\(\text{By Vieta's formulae the sum of roots is -b/a, } \text{and the product is c/a}\)

if they are in an quadratic **ax^2 + bx + c = 0**

**WE KNOW A = 1 :)**

Therefore, the sum of the roots is -b and the product is c

The roots are 1 and -1, so the sum is 0 and the product is -1

Given that -b = 0 and c = -1, or b = 0 and c = 1, plug the values back into the equation x^2 + bx + c = 0 to get your final answer

Please like if this answer was correct. Thank you.

threepointonefourone Jul 18, 2024