Step-by-step explanation: move constant to the right-hand side and change its sign x²+ 5x +6=0 to "x²+5x=-6" next add ()² to both sides of the equation x²+5x=-6 to x²+5x + ()² = -6 + ()² next using a²+2ab+b²=(a+b)², factor the expression (x+ )² = -6 + ()² then calculate the value (x+)²= , solve the equation for x , x=-3, x=-2 the equation has 2 solutions.
Answers & Comments
Answer:
x² ₊ 5x= -6
x² ₊ 5x ₊ (
)² = -6 ₊ (
)²
(x ₊
)² = ![\frac{1}{4} \frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
x= -3
x=-2
solution: x₁= -3, x₂=-2
Step-by-step explanation: move constant to the right-hand side and change its sign x²+ 5x +6=0 to "x²+5x=-6" next add (
)² to both sides of the equation x²+5x=-6 to x²+5x + (
)² = -6 + (
)² next using a²+2ab+b²=(a+b)², factor the expression (x+
)² = -6 + (
)² then calculate the value (x+
)²=
, solve the equation for x , x=-3, x=-2 the equation has 2 solutions.