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4 years ago

Please show me step by step: x^3+2x^2-5x-6=0

Mathematics

1 answer:

Kazeer [188]4 years ago

3 0

Answer:

x=-1, x=2, x=3

Step-by-step explanation:

Factor the left side of the equation.

(x+1)(x^2+x-6)

(x+1)(x-2)(x-3)

Now set everything equal to 0

x+1=0

x-2=0

x-3=0

Now solve for x

therefore, the answer is x=-1, x=2, x=3

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mote1985 [20]

Answer: The equation that represents the other equation is $y=\dfrac{1}{3}x+5$ .

The solution of the system is <u>(3,6).</u>

Step-by-step explanation:

Linear equation: $y=mx+c$ , where m= slope

c = y-intercept.

In the first table, the y-intercept = 5 [ y-intercept = value of y at x=0.

Slope for first table = $\dfrac{y_2-y_2}{x_2-x_1}=\dfrac{6-5}{3-0}=\dfrac{1}{3}$

The equation that represents the first table:

$y=\dfrac{1}{3}x+5$

So, the equation that represents the other equation is $y=\dfrac{1}{3}x+5$ .

Also, the solution of the system is the common point (x,y) that satisfy both equations in the system.

Here, x=3 and y=6 is the common value in both tables.

So, the solution of the system is <u>(3,6).</u>

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4 years ago

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LuckyWell [14K]

Answer: 2nd one.

Step-by-step explanation:

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2 years ago

A red chair falls from a 15ft tall building, how long has the blue phone been eating the titanic during the fall of rome?

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This took me a long time to analyze and answer. This answer is very intelectiual and scholarly. Here are the answers.

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2 years ago

Read 2 more answers

Which equation represents a circle with a center at (2,-3) and a radius of 11

Verdich [7]

Answer:

x^2-4x+y^2+6y-108=0

Step-by-step explanation:

$The- equation- of- circle- with -center- at- (h,k) -and -a -radius- of- r -is: \\(x-h)^2 +(y-k)^2 = r^2\\h = 2 , \\ k = -3\\r = 11\\(x-2)^2+(y-(-3))^2 = 11^2\\(x-2)^2+(y+3)^2 = 121\\x^2-4x+4 +y^2+6y+9 = 121\\x^2 -4x+y^2+6y+4+9=121\\x^2 -4x+y^2+6y+13=121\\x^2 -4x+y^2+6y=121-13\\x^2 -4x+y^2+6y= 108\\x^2 -4x+y^2+6y-108 = 0$

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4 years ago

What did Charles Hermite invent?

ser-zykov [4K]

Answer:

Charles Hermite was a French mathematician. He was born on December 24, 1822 and died on January 14, 1901. Many mathematical concepts are named in honor of him and his research, including Hermite polynomials, Hermite interpolation, Hermite normal form, Hermitian operators, and cubic Hermite splines. There is also a moon crater, Hermite crater, named in honor of him

Step-by-step explanation:

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2 years ago