Answer with explanation:
The system of equation are
1. → x²+y²=6
2. →x² -y=6
Subtracting Equation (2) from equation (1)
→ x²+y² -(x² -y)=6-6
→y²+y=0
→ y × (y+1)=0
→ y=0 ∧ y+1=0
→ y=0 ∧ y = -1
y=0 gives means,by substituting value of y in equation 2,
→ x² -0=6
→ x²=6
→ x =√6 ∧ x= -√6
Solution Set is =(√6, 0) ,(-√6, 0)
y= -1 gives
→ x² - (-1)=6
→ x²=6 -1
→ x²=5
→x = √5, ∧ x= -√5
Solution Set is =(√6, 0) ,(-√6, 0), (√5, 0) ,(-√5, 0)
