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!

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

answer: it's d

step-by-step explanation: