SOLUTION: 1. What are the 2 solutions of the equation 2x(squared)+2x = 4-x? I tried factoring subtracting 4 from both sides and factoring out the left side but couldn't come up with the c

Algebra ->  Signed-numbers -> SOLUTION: 1. What are the 2 solutions of the equation 2x(squared)+2x = 4-x? I tried factoring subtracting 4 from both sides and factoring out the left side but couldn't come up with the c      Log On


   

Question 46922: 1. What are the 2 solutions of the equation 2x(squared)+2x = 4-x?
I tried factoring subtracting 4 from both sides and factoring out the left side but couldn't come up with the correct answer.
2. What is the equation of the line that passes through the points with coordinates (-2,1) and (1,2)?
I tried subtracting y2 from y1 and adding that two X2 - X1, but I am not getting the correct answer.
3. When 3+4i is expressed in the form a +bi, what is the value of a?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
1) Solve:
2x%5E2%2B2x+=+4-x Rewrite the equation in the form:ax%5E2%2Bbx%2Bc+=+0
2x%5E2%2B3x-4+=+0 Use the quadratic formula to solve:
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a
x+=+%28-3%2B-sqrt%283%5E2-4%282%29%28-4%29%29%29%2F2%282%29
x+=+%28-3%2B-sqrt%289%2B32%29%29%2F4
x+=+%28-3%2B-sqrt%2841%29%29%2F4
x+=+%28-3%2Bsqrt41%29%2F4 = 0.85078...
x+=+%28-3-sqrt41%29%2F4 = -2.35078...
2) Find the equation of the line passing through the points: (-2, 1) and (1, 2)
Use the point-slope form: y = mx+b.
Find the slope of the line: m+=+%28y2-y1%29%2F%28x2-x1%29
(-2, 1) = (x1, y1) and (1, 2) = (x2, y2)
m+=+%282-1%29%2F%281-%28-2%29%29
m+=+1%2F3
y+=+%281%2F3%29x+%2B+b Now you need to find the value of b, the y-intercept. Substitute the x- and y-coordinates from either one of the two given points and solve for b. Using the second point (1, 2)
2+=+%281%2F3%29%281%29+%2B+b
2+=+1%2F3+%2B+b Subtract 1%2F3 from both sides of the equation.
5%2F3+=+b
Now you can write the final equation.
y+=+%281%2F3%29x+%2B+5%2F3
3) When 3+4i is in the form a+bi, what is the value of a?
Compare the following:
3+4i
a+bi
a = 3