if a and b are the roots of the equation x 2 - 8 x + 8 = 0 , then the value of a 2 + b 2 is :
"sol . ( b ) the sum of roots = a + b = 8 product of roots = ab = 8 now , a 2 + b 2 = ( a + b ) 2 - 2 ab = 64 - 16 = 48 answer b"
add(power(divide(subtract(8, sqrt(subtract(power(8, 2), multiply(const_4, 8)))), 2), 2), power(divide(add(8, sqrt(subtract(power(8, 2), multiply(const_4, 8)))), 2), 2))