SOLUTION: how do i solve this x2/2+2/7=-2x/7

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Question 64819This question is from textbook
: how do i solve this x2/2+2/7=-2x/7This question is from textbook

Answer by 303795(562) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2F2%2B2%2F7=-2x%2F7
Multiply both sides by 14 (to remove all fractions)
7x%5E2%2B4=-4x
7x%5E2%2B4x%2B4=0
Using the quadratic formula the discriminant b%5E2-4ac=4%5E2-4%2A7%2A4=16-112=-96is negative so the equation has no real roots.