X to the third plus x minus 7 equals -3 square root of x - 1

Mathematics

1 answer:

Ugo [173]3 years ago

5 0

Answer:

x ≈ 1.5004

Step-by-step explanation:

We suppose your equation is ...

$x^3+x-7=-3\sqrt{x-1}$

Squaring both sides and subtracting the right side gives ...

$x^6 +2x^4 -14x^3 +x^2 -23x +58 = 0$

This 6th-degree equation has two positive real roots, near x=1.5, and x=2. The root at x=2 is extraneous. The one near x=1.5 is irrational.

You might be interested in

If the discount is 30% and the sale price is $206.50 what is the original price

maxonik [38]

let's say the original price is "x", so that'd be the 100%.

and we know that is discounted by 30%, 100% - 30% = 70%, we know the discounted price is 206.50, so namely 206.50 is the 70% then.

if 206.50 is 70% of "x", what is "x"?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 206.50&70\\ x&100 \end{array}\implies \cfrac{206.50}{x}=\cfrac{70}{100}\implies \cfrac{206.50}{x}=\cfrac{7}{10} \\\\\\ 2065=7x\implies \cfrac{2065}{7}=x\implies 295=x$

7 0

3 years ago

The question is 1/2 of 5 =

Amanda [17]

Answer:

2.5

Step-by-step explanation:

1/2x5=?

5/2=?

2.5=?

7 0

3 years ago

Read 2 more answers

Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.)

Alinara [238K]

The standard conversion toolbox:
x=rcos(θ)
y=rsin(θ)

Here r=7csc(θ)
so
x=7csc(θ)*cos(θ)=7cos(θ)/sin(θ)=7cot(θ)
y=7csc(θ)*sin(θ)=7sin(θ)/sin(θ) = 7
therefore the rectangular coordinates are (7cot(θ), 7)

8 0

3 years ago

I need help finding the lond divison for 8÷136

nignag [31]

Let me know if you don’t understand anything. Hope this helped.