Answer:
Correct answer: x₁ = 1 / √3 = √3 / 3 or x₂ = - 1 / √3 = - √3 / 3
Step-by-step explanation:
Given:
3 x⁴ + 14 x² - 5 = 0 biquadratic equation
this equation is solved by a shift x² = t and get:
3 t² + 14 t - 5 = 0
t₁₂ = (-14 ± √14² - 4 · 3 · 5) / 2 · 3 = (-14 ± √196 + 60) / 6
t₁₂ = (-14 ± √256) / 6 = (-14 ± 16) / 6
t₁ = -5 or t₂ = 1 / 3
the solution t₁ = -5 is not accepted because it cannot be x² = -5
we accepted t₂ = 1 / 3
x² = 1 / 3 ⇒
x₁ = 1 / √3 = √3 / 3 or x₂ = - 1 / √3 = - √3 / 3
God is with you!!!
Answer:
y = -1/2x - 4
Step-by-step explanation:
We have our equation in standard form: -x - 2y = 8. We can use simplifying rules to isolate y on one side of the equation and give us our y = mx + b format. I'll begin by adding x to both sides.
-x - 2y = 8
-2y = x + 8
Now that we have y on one side, we can divide everything by -2.
-2y/-2 = x/-2 + 8/-2
y = -1/2x - 4
That looks like y = mx + b form.
If you have any further questions or need clarification on anything, let me know!
Answer:
X= -50
Step-by-step explanation:
Remove the parenthesis
multiply both sides by two
x - 6 = -56
Move the 6 to the other side
x = -56 + 6
x = -50
Answer:
yes
Step-by-step explanation:
6:3 and 8:4
6:3
Divide by 3
6/3: 3/3
2:1
8:4
Divide by 4
8/4: 4/4
2:1
They are the same so they form a proportion
