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sleet_krkn [62]

3 years ago

11

8x^3 -10x^2 +3x=0 please solve for x

2 answers:

gregori [183]3 years ago

8 0

$\bf 8x^3-10x^2+3x=0\implies x(8x^2-10x+3)=0
\\\\\\
x(2x-1)(4x-3)=0\implies 
\begin{cases}
x=0\implies &x=0\\\\
2x-1=0\implies 2x=1\implies &x=\frac{1}{2}\\\\
4x-3=0\implies 4x=3\implies &x=\frac{3}{4}
\end{cases}$

serg [7]3 years ago

4 0

So x would equal to x=0, 3/4, 1/2

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3 years ago

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PLSSS HELP!! I'LL GIVE BRAINLIEST IF RIGHT Which is the equation of a parabola with a directrix at y = 2 and a focus at (5, 0).

goldfiish [28.3K]

Answer:

First, we need to set up a (y−k)^2=4p(x−h). After plugging in all of your values, you would get (x-5)^2=-4(y-1). Now, we need to solve in terms of y by dividing each side by the factors that don't contain the variable

Step-by-step explanation:

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3 years ago

Find the general solution to 1/x dy/dx - 2y/x^2 = x cos x, y(pi) = pi^2

Finger [1]

Answer:

$\frac{y}{x^2}=\sin x+\pi$

Step-by-step explanation:

Consider linear differential equation $\frac{\mathrm{d} y}{\mathrm{d} x}+yp(x)=q(x)$

It's solution is of form $y\,I.F=\int I.F\,q(x)\,dx$ where I.F is integrating factor given by $I.F=e^{\int p(x)\,dx}$ .

Given: $\frac{1}{x}\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{2y}{x^2}=x\cos x$

We can write this equation as $\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{2y}{x}=x^2\cos x$

On comparing this equation with $\frac{\mathrm{d} y}{\mathrm{d} x}+yp(x)=q(x)$ , we get $p(x)=\frac{-2}{x}\,\,,\,\,q(x)=x^2\cos x$

I.F = $e^{\int p(x)\,dx}=e^{\int \frac{-2}{x}\,dx}=e^{-2\ln x}=e^{\ln x^{-2}}=\frac{1}{x^2}$ { formula used: $\ln a^b=b\ln a$ }

we get solution as follows:

$\frac{y}{x^2}=\int \frac{1}{x^2}x^2\cos x\,dx\\\frac{y}{x^2}=\int \cos x\,dx\\\\\frac{y}{x^2}=\sin x+C$

{ formula used: $\int \cos x\,dx=\sin x$ }

Applying condition: $y(\pi)=\pi^2$

$\frac{y}{x^2}=\sin x+C\\\frac{\pi^2}{\pi}=\sin\pi+C\\\pi=C$

So, we get solution as :

$\frac{y}{x^2}=\sin x+\pi$

4 0

3 years ago

What is an equation with more than one variable called

Eddi Din [679]

Answer: a. a literal equation

Step-by-step explanation:

A literal equation is an equation which comprises basically of letters., where letters are nothing but variables.

All the kinds of formulas are said to be examples of literal equations.

For example slope intercept form $y=mx+c$

The rate of change of position on a straight line $r=\frac{d}{t}$ , where 'd' is the distance and 't' is the time.

Therefore, a literal equation is an equation with more than one variables.

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3 years ago

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lutik1710 [3]

312 gallons of white paint, $17.50 each gallon

134 gallons of blue paint, $19 for each gallon

312 x 17.50 = $5,460

134 x 19 = $2,546

5460 + 2546 = $8,006

8 0

3 years ago