All categories

3 years ago

Which equation is true for x = –6 and x = 2?

Mathematics

2 answers:

Svetllana [295]3 years ago

5 0

Answer:

x²+4x - 12 = 0 is the answer.

Step-by-step explanation:

We have to drive the equation that is true for x = -6 and x = 2.

If the equation has two zeros then equation is of the form as below:

(x-c)(x-d) = 0

We simplify the equation when the equation has zeros at x = -6 and x= 2.

(x-(-6))(x-2)=0

(x+6)(x-2) = 0

x²-2x+6x-12 = 0

x²+4x - 12 = 0

x²+4x - 12 = 0 is the answer of given expression.

schepotkina [342]3 years ago

3 0

Answer:

$x^2+4x-12=0$

Step-by-step explanation:

If a equation has two zeros x=a and x=b then equation can be written as

$(x-a)(x-b)=0$

similarly if a equation has two zeros at x = −6 and x = 2

then equation can be written as

$(x+6)(x-2)=0$

$x^2+6x-2x-12=0$

$x^2+4x-12=0$

Therefore $x^2+4x-10$ is required equation

You might be interested in

Hi, Could anyone help me with my homework

tatiyna

Answer:

$\hookrightarrow \sf x^6+24x^5+240x^4+1280x^3+3840x^2+6144x+4096$

solving steps:

$\rightarrow \sf (x + 4)^6$

$\bold{rewrite \ the \ following}$

$\rightarrow \sf (x + 4)^2 (x + 4)^2 (x + 4)^2$

$\bold {formula \ used : \sf (x+a)^2 = (x^2 + 2xa + a^2)}$

$\rightarrow \sf (x^2 + 8x+16) (x^2 + 8x+16) (x^2 + 8x+16)$

$\bold{simplify \ by \ removing \ parenthesis}$

$\rightarrow \sf (x^4 +8x^3 + 16x^2 + 8x^3 +64x^2 + 128x+16x^2+128x+256 ) (x^2 + 8x+16)$

$\bold{basic \ addition \ of \ integers }$

$\rightarrow \sf (x^4+16x^3+96x^2+256x+256) (x^2 + 8x+16)$

$\bold{remove \ parenthesis}$

$\rightarrow \sf (x^6 + 16x^5 + 96x^4 + 256x^3 + 256x^2 + 8x^6 + 128x^4 + 768x^3 + 2048x^2 + 2048 + 16x^4 + 256x^3 + 1536x^2 + 4096x + 4096)$

$\bold {final \ answer:}$

$\rightarrow \sf x^6+24x^5+240x^4+1280x^3+3840x^2+6144x+4096$

8 0

2 years ago

Write 7*7*b*b*b in exponential form

ycow [4]

Answer:

7²b³

Step-by-step explanation:

An exponent signifies repeated multiplication. Here, the factor 7 is repeated twice, and the factor b is repeated 3 times. These will get exponents of 2 and 3, respectively:

7²b³

6 0

4 years ago

How do you reverse 16 / 4

Llana [10]

Divide and if u divide by 4 it would be 4/1 so the it the answer would be 4

7 0

3 years ago

Bruce owns a small grocery store and charges $4.75 per pound of produce. If a customer orders 5 pounds od produce how much does

andriy [413]

He charges 4.75 per lb....

so 5 lbs would cost (5 * 4.75) = $ 23.75 <==

7 0

3 years ago

Identify the chord(s) of circle A.<br>please help asap!!! Thank you so much!!

Katarina [22]

Answer:

TS and RS

Step-by-step explanation:

Chords are TS and RS

7 0

3 years ago