Sccti0nn equation by the method of completing the squaresx^{2}+12 x-45

1.	Sccti0nn equation by the method of completing the squaresx^{2}+12 x-45=0
Answer» x^2 + 12 x - 45 = 0 => x^2 + 12x =45 add (6)^2 both side => x^2 + 12x + (6)^2 = 45 + (6)^2 => x^2 + 2. (6).x + (6)^2 = 81 =(9)^2 =>(x + 6)^2 = (9)^2 => (x + 6)^2 -(9)^2 = 0use formula, a^2 - b^2 = (a - b)(a + b) now,=>(x + 6 -9)(x + 6 + 9)=0 => x=3 , -15 , hence roots of equation is 3 and -15

Sccti0nn equation by the method of completing the squaresx^{2}+12 x-45=0

Answer»

x^2 + 12 x - 45 = 0

=> x^2 + 12x =45

add (6)^2 both side

=> x^2 + 12x + (6)^2 = 45 + (6)^2

=> x^2 + 2. (6).x + (6)^2 = 81 =(9)^2

=>(x + 6)^2 = (9)^2

=> (x + 6)^2 -(9)^2 = 0use formula, a^2 - b^2 = (a - b)(a + b)

now,=>(x + 6 -9)(x + 6 + 9)=0

=> x=3 , -15 , hence roots of equation is 3 and -15