How to solve 2x^2 - 4x = 3

Mathematics

1 answer:

zhenek [66]3 years ago

6 0

Answer:

1 ± i(1/2)√2

Step-by-step explanation:

Write this quadratic in standard form: subtract 3 from both sides. This results in 2x^2 - 4x - 3 = 0. Let's apply the quadratic formula. The coefficients of the x terms are 2, -4 and -3, so the discriminant is (-4)^2 - 4(2)(-3), or 16 - 24 = -8.

Following the format of the quadratic formula, we get

-(-4) ±i2√8 4 ±i2√2

x = ----------------- = --------------- = 1 ± i(1/2)√2

4 4

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Solving Exponential and Logarithmic Equations In Exercise, solve for x.<br> In 2x - In(3x - 1) = 0

LenKa [72]

Answer:

$\frac{-1}{3x^2-x}$

Step-by-step explanation:

If f(x) is in th form of f(x)=g(x)-h(x) then f'(x)=g'(x) - h'(x)
When f(x)=z(g(x)) then f'(x)= z'(g(x))g'(x) (called as chain rule)

<u>using these information</u>:

g(x)=ln2x then g'(x)= $\frac{(2x)'}{2x} =\frac{2}{2x}=\frac{1}{x}$

h(x)=In(3x - 1) then h'(x)= $\frac{(3x-1)'}{3x-1} =\frac{3}{3x-1}f'(x)=g'(x) - h'(x) =[tex]\frac{1}{x} - \frac{3}{3x-1} =\frac{-1}{3x^2-x}$

7 0

3 years ago

I don't know how to do this

ValentinkaMS [17]

I would say c hope this helps

6 0

3 years ago

Read 2 more answers

In Exercises 1-16, solve the inequality. Graph the solution<br> 1. 3y ≤ -9

murzikaleks [220]

By solving the inequality we get $y\leq -3$

What is graphing the inequality?

The act of illustrating which area of the number line contains values that will "satisfy" the specified inequality is known as graphing the inequality. Take a look at the first inequality, "x > -5." The numbers that can be used to substitute x in our inequality to produce a true statement can be shown on a graph of our inequality.

$3y\leq -9$