$6x^2-x=2\implies 6x^2-1x-2=0 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{6}x^2\stackrel{\stackrel{b}{\downarrow }}{-1}x\stackrel{\stackrel{c}{\downarrow }}{-2}=0 \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}$

$x = \cfrac{ -(-1) \pm \sqrt { (-1)^2 -4(6)(-2)}}{2(6)}\implies x = \cfrac{1\pm\sqrt{1+48}}{12} \\\\\\ x = \cfrac{1\pm\sqrt{49}}{12}\implies x = \cfrac{1\pm 7}{12}\implies x = \begin{cases} \frac{8}{12}\to &\frac{2}{3}\\[1em] -\frac{6}{12}\to &-\frac{1}{2} \end{cases}$

7 0

2 years ago

A number is multiplied by -58. the product is -0.4. what is the value of n?

quester [9]

Answer:

n = 145

Step-by-step explanation:

-58 ÷ -0.4 = 145

n = 145

5 0

2 years ago

Given the rational inequality below, explain why the solution set includes 3, but does not include 1? Make sure to write the fin

pychu [463]

Because there is no solution if any number divide by 0

3 0

3 years ago

#1: Solve the equation below. 5x + 7 = -3x + 31

svlad2 [7]

Answer:

x=3

Step-by-step explanation:

You can solve by:

5x+7=-3x-31

adding 3x to each side:

8x+7=31

Subtract 7 from each side:

8x=24

Divide each side by 8:

x=3

That is your answer

Hope this helps!

8 0

2 years ago

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