Find the value of x^3+x^2-3x when x=-2

Mathematics

1 answer:

Elina [12.6K]2 years ago

5 0

Answer:

-6

Step-by-step explanation:

Substitute -2 from x meaning -2^3+-2^2-3*-2; solve this, you get -6!

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Which equation has no solution? A 2(x+1)=1 B 2(x+1)=2x+2 C 2(x+1)=2x+1 D 2(x+1)=2

Veseljchak [2.6K]

Answer:

C) 2(x+1)=2x+1 ( No Solution )

Step-by-step explanation:

$2(x+1)=1\\\cfrac{2\left(x+1\right)}{2}=\frac{1}{2}\\x+1=\cfrac{1}{2}\\ x+1-1=\frac{1}{2}-1\\\boxed{x=-\frac{1}{2}}$

$2(x+1)=2x+2\\2x+2=2x+2\\2x+2-2=2x+2-2\\2x=2x\\2x-2x=2x-2x\\0=0$

$2(x+1)=2x+1 \\2x+2=2x+1\\2x+2-2=2x+1-2\\2x=2x-1\\2x-2x=2x-1-2x\\0=-1\\\boxed{No\:Solution}$

$2(x+1)=2\\\cfrac{2\left(x+1\right)}{2}=\cfrac{2}{2}\\x+1=1\\x+1-1=1-1\\x=0$

4 0

2 years ago

How can I solve this equation 5x^2-2x-6=-2x^2+9x

wel

Add 2x^2 to both sides
7x^2-2x-6=9x

Subtract 9x from both sides
7x^2-11x-6=0

Factor by using slip and slide
x^2-11x-42
(x-14)(x+3)
(x-14/7)(x+3/7)
(x-2)(7x+3)

Then use the Zero Product Property to find roots
x-2=0
x=2

7x+3=0
7x=-3
x=-3/7

Final answer: x=-3/7, x=2

3 0

3 years ago

What is the value of n in the equation –1/2(2n + 4) + 6 = –9 + 4(2n + 1)?

ioda

Answer:

Step-by-step explanation:

$-\dfrac{1}{2}(2n-4)+6=-9+4(2n+1)\qquad\text{use the distributive property}\\\\\left(-\dfrac{1}{2}\right)(2n)+\left(-\dfrac{1}{2}\right)(-4)+6=-9+(4)(2n)+(4)(1)\\\\-n-2+6=-9+8n+4\qquad\text{combine like terms}\\\\-n+(-2+6)=8n+(-9+4)\\\\-n+4=8n-5\qquad\text{subtract 4 from both sides}\\\\-n=8n-9\qquad\text{subtract}\ 8n\ \text{from both sides}\\\\-9n=-9\qquad\text{divide both sides by (-9)}\\\\n=1$