Use completing the square to solve (x – 12)(x + 4) = 9 for x. x = –1 or 15 x = 1 or 7

crosales102   ·   24.09.2019 16:20
ANSWER(S)
28.06.2019 01:00
X> -2 is the simplified version.
answered: ozzypurple05
26.06.2019 13:40

4.

step-by-step explanation:

it have the same area.brainliest

Which of these shapes is congruent to the given shape ?
answered: kaylinrebecca
26.06.2019 10:00

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

24−3x=−27

step 1: simplify both sides of the equation.

24−3x=−27

24+−3x=−27

−3x+24=−27

step 2: subtract 24 from both sides.

−3x+24−24=−27−24

−3x=−51

step 3: divide both sides by -3.

−3x

−3

=

−51

−3

x=17

answer:

x=17

step-by-step explanation:

mark brainliest and have a great day!

answered: oroman4650
08.10.2020 13:01
See below

Explanation:

x^2 - 6x + 5 = 0
(x^2 - 6x + 9) + 5 - 9 = 0
(x - 3)(x - 3) - 4 = 0
(x - 3)^2 = 4
x - 3 = +-2 (sqrt both sides)

x - 3 = 2
x = 5

x - 3 = -2
x = 1
answered: AnNguyen
08.10.2020 13:01
OK, here we go
open brackets first,
X²+4x-12x-48=9
x²-8x-48-9=0
x²-8x-57=0
x²-8x=57
x²-8x-4²=57-4²
(x-4)²=57-16
(X-4)²=41
√(x-4)²=+ or -√41
x=4+√41 or x=4-√41
x=4+6.403 or x=4-6.403
x=10.403 or -2.403
x≈ 10.4 or -2.4
answered: rachelkim999
08.10.2020 13:01
I hope this helps you
Use completing the square to solve (x + 7)(x – 9) = 25 for x.
answered: berrydivina
08.10.2020 13:01

x=  10.43398113 ,  -8.43398113

answered: cairolove228
08.10.2020 13:01

we have

(x-12)(x+4)=9\\ x^{2} +4x-12x-48=9\\ x^{2} -8x-48=9

Group terms that contain the same variable, and move the constant to the opposite side of the equation

x^{2} -8x=9+48\\ x^{2} -8x=57

Complete the square. Remember to balance the equation by adding the same constants to each side

x^{2} -8x+16=57+16\\ x^{2} -8x+16=73

Rewrite as perfect squares

x^{2} -8x+16=73\\ (x-4)^{2} =73\\ (x-4)=(+/-)\sqrt{73}

x1=4+\sqrt{73} \\ x2=4-\sqrt{73}

therefore

the answer is

x1=4+\sqrt{73} \\ x2=4-\sqrt{73}

answered: carmenala2
08.10.2020 13:01

The answer is C..

x=1+/- the square root of 89

answered: aaronr7383
08.10.2020 13:01

I am pretty sure it is C

Step-by-step explanation:

photomath

answered: Barret07
08.10.2020 13:01

Given the equation:

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

Then;

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

Using the distributive property, a \cdot (b+c) = a\cdot b + a\cdot c

x^2-9x+7x-63 =25

Combine like terms;

x^2-2x-63 =25

Subtract 25 from both sides we have;

x^2-2x-88=0

Using completing square form:

Add and subtract (\frac{2}{2})^2 =1 we have;

x^2-2x-88+1-1=0

(x-1)^2-89 = 0

Add 89 to both sides we have;

(x-1)^2=89

Taking square root both sides we get;

x-1 = \pm \sqrt{89}

Add 1 to both sides we have;

x = 1 \pm \sqrt{89}

Therefore, the values of x are:

1+\sqrt{89} and  1 -\sqrt{89}

07.06.2020 05:18

The answer is D. x=  4+/-\sqrt{73}

answered: maggie3541
07.06.2020 05:18
(x - 12)(x + 4) = 9
x² + 4x - 12x - 48 = 9
x² - 8x - 48 = 9    |add 48 to both sides
x² - 8x = 57
x² - 2x · 4 = 57    |add 4² to both sides
x² - 2x · 4 + 4² = 57 + 4²    |use (a - b)² = a² - 2ab + b²
(x - 4)² = 57 + 16
(x - 4)² = 73 ⇔ x - 4 = √73 or x - 4 = -√73    |add 4 to both sides

x = 4 + √73 or x = 4 - √73

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