Answer:
Step-by-step explanation:
3x²-12x+7=0
x = (-b ± √ b²-4ac) / 2a
from these equation: a = 3 , b = 12 , c = 7
Accordingly, b² - 4ac = 12²- 4 (3 x 7) = 144 - 4(21) = 144 - 84 = 60
2a= 2 x 3 = 6
Applying the quadratic formula :
x = (-12 ± √ 60 )/6
√ 60 rounded to 2 decimal digit using calculator 7.75
x = (-12 ± 7.75 )/6
(-12 ± 7.75 ) = (-12 + 7.75 ) = 5.75
(-12 - 7.75 ) = -19.75
x = 5.75/6 = 0.96
-19.75/6 = 3.29
sum of the square of roots = 0.96² + 3.29²
0.9261 + 10.8241 = 11.75