Question

Q-I Show that x = -3 is the solution of the equation x²+6x+9=0​

Answer 1

Step-by-step explanation:

given:

x^2+6x+9 = 0

To show:

x= -3

Since the given equation is a quadratic equation( highest degree is 2) we can use the product sum method.

Therefore, x^2+6x+9 = 0

we can split 9 as 3 and 3. Here if we add both of them we must get the sum as 6.

now, x^2+3x+3x+9 = 0

x(x+3) + 3(x+3) = 0

(x+3) (x+3) = 0

x+3 = 0 / x+3 = 0

x= -3. x = -3

Hence showed