Solve for x. Use the completing the square method. x² + 8x = 7

, or

Step-by-step explanation:

Let's solve your equation step-by-step.

The coefficient of 8x is 8. Let b=8.

Then we need to add (b/2)^2=16 to both sides to complete the square.

Add 16 to both sides

x^2+8x+16 = 7+16

x^2 + 8x+ 16= 23

Factor left side.

(x+4)^2 = 23

Take the square root.

Add -4 to both sides.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4