Use completing the square to solve (x + 7)(x – 9) = 25 for x.

answer- b on edge

Hey there!

Use the distributive property at first.

(x + 7)(x - 9) = 25

x (x - 9) + 7 (x - 9) = 25

x² - 9x + 7x - 9 = 25

x² - 2x - 9 = 25

x² - 2x = 25 + 9

x² - 2x = 88

Now make the LHS of a equation a perfect square by adding the square of -1 to both the sides.

x² - 2x + (-1)² = 88 + (-1)²

x² - 2x + 1 = 88 + 1

By factorising the terms in LHS & adding the terms in RHS..

(x - 1)² = 89

Take the square root of both the sides.

√(x - 1)² = √(89)

By simplifying..we will get the answer as...

x - 1 = +/- √89

Adding 1 to both the sides...the values of x will be :-

x = √89 + 1

x = 1 - √89

Hope it helps ya!

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

step-by-step explanation:

if you meant, "on the way from (3, 2) to (3, 14):

x does not change; y increases by 12.

ensure that you have copied down this problem correctly.   .