Question

Qn. 75 - The roots of the equation
(x+3)2 -9=0 are...​

Answer 1

Answer:

The roots are 0 and -6

Step-by-step explanation:

(x + 3)² - 9 = 0

x² + 9 + 6x - 9 = 0

x² + 6x = 0

x(x + 6) = 0

x = 0 ; x + 6 = 0

x = 0 ; x = -6

Answer 2

Q U E S T I O N:

• To find the roots of theiz equation (x + 3) 2 - 9 = 0 ?

S O L U T I O N:

Simplifying the equation,

$\implies\sf{( {x + 3)}^{2} - 9 = 0} \\ \\ \implies\sf{ {x}^{2} { \cancel{ + 9 }} + 6x { \cancel{ - 9}} = 0} \\ \\ \implies\sf{ {x}^{2} + 6x = 0} \\ \\ \implies\sf{x(x + 6) = 0} \\ \\ \implies\sf{x = 0 \: \: , \: \: x + 6 = 0} \\ \\ \implies{\boxed{\green{\rm{x = 0 \: \: , \: \: x = - 6}}}} \: { \red { \bigstar}}$

Thus,

• The roots of the given are 0 or -6.