SOLUTION: Find the discriminant and determine the number of real solutions then solve. x^2-2x+10=0 & Simplify: 7+2i/4+i

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Question 636051: Find the discriminant and determine the number of real solutions then solve.
x^2-2x+10=0 & Simplify: 7+2i/4+i
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

ax^2 +bx + c = 0

x^2-2x+10=0       x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

discriminant

+sqrt%28+b%5E2-4%2Aa%2Ac+%29

+sqrt%28+4-4%2A1%2A10+%29

+sqrt%28+-36+%29

+sqrt%28+%28-1%29-36+%29     ||   i^2 = -1

+sqrt%28+%28i%5E2%29-36%29 = ± 6i ,  NO real solutions, Note: parabola will NOT cross x-axis





Simplify: 

%287%2B2i%29%2F%284%2Bi%29   || multiplying both numerator and denominator by conjugate (4-i).  Note:  i^2 = -1