X^3 - 5 = -32
x^3 = -32 + 5
x^3 = -27
Now -27 = (-3)^3 so the answer is x = -3
Slope-intercept form is y=mx+b, where m is the slope, and b is the y-intercept.
So, to convert x+6y=-2, you have to isolate y. Your first step is to move the x to the other side. To do this, you subtract 1x from both sides:
6y=-x-2
Your final step is to divide both sides by 6:
y=-1/6x+1/3
Hope this helps :-)
Answer:
v = 1/2(1 + i√23) , 1/2(1 - i√23).
Step-by-step explanation:
-2v^2 - v + 12 = -3v^2 + 6
-2v^2 + 3v^2 - v + 12 - 6 = 0
v^2 - v + 6 = 0
This will not factor so we could use the quadratic formula to solve it:
For the equation ax^2 + bx + c = 0 the roots are:
x = [ - b +/- sqrt(b^2 - 4ac) ] / 2a.
So here we have:
v = [-(-1) +/- sqrt((-1)^1 - 4*1*6)] / 2
v = [ 1 +/- sqrt (-23)] / 2
= 1/2 + i√23/2 , 1/2 - i√23/2
= 1/2(1 + i√23) , 1/2(1 - i√23).