Question

Solve the equations by completing the square
x^2 + 7x - 6 = 0​

Answer 1

Step-by-step explanation:

x

2

+7x−6=0⇒x

2

+2.

2

7

x+(

2

7

)

2

−6−

4

49

=0.

(x+

2

7

)

2

−

4

73

=0.

(x+

2

7

)

2

−(

2

73

)

2

=0⇒(x+

2

7+

73

)(x+

2

7−

73

)=0

∴

x=−(

2

7+

73

)

or,

x=−(

2

7−

73

)

Answer 2

Answer:

x^2 + 6x + x + 6 = 0

x( x + 6 ) + 1 ( x + 6 ) = 0

( x + 1 ) ( x + 6 ) = 0

x = 6

or

x = 0