Question

50 points + brainliest!

Answer 1

Answer:

( x+2) ^2 = 11

x =1.32,-5.32

Step-by-step explanation:

x^2 + 4x -7 = 0

Add the constant to each side

x^2 + 4x -7+7 = 0+7

x^2 + 4x = 7

Take the coefficient of the x term

4

Divide by 2

4/2 =2

Square it

2^2 = 4

Add this to each side

x^2 + 4x +4 = 7+4

Take the 4/2 as the term inside the parentheses

( x+2) ^2 = 11

Take the square root of each side

sqrt( ( x+2) ^2)  =±sqrt( 11)

x+2 = ±sqrt( 11)

Subtract 2 from each side

x = -2 ±sqrt( 11)

To the nearest hundredth

x =1.32

x=-5.32

Answer 2

Answer:

$(x+2)^2=11$

$x=-2 \pm \sqrt{11}$

Step-by-step explanation:

$x^2+4x-7=0$

$x^2+4x=7$

$x^2+4x+4=7+4$

$(x+2)^2=11$

$x+2=\pm\sqrt{11}$

$x=-2 \pm \sqrt{11}$