If we combine like terms, we get x2+12x−4. By Vieta's, the sum of the roots is -12 and the product is -4. If the roots are a and b, then (a+b)2=−122=144. If we subtract twice the product, we can find the sum of the squares of the roots. 144−(−8)=152.
Feel free to tell me if I did anything wrong! :D
If we combine like terms, we get x2+12x−4. By Vieta's, the sum of the roots is -12 and the product is -4. If the roots are a and b, then (a+b)2=−122=144. If we subtract twice the product, we can find the sum of the squares of the roots. 144−(−8)=152.
Feel free to tell me if I did anything wrong! :D