SOLUTION: Write a quadratic equation with no real solutions. Explain how you know there are no solutions. Thanks!

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Question 1025971: Write a quadratic equation with no real solutions. Explain how you know there are no solutions. Thanks!
Found 2 solutions by Fombitz, ankor@dixie-net.com:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
No real solutions.
You can graph it to see that it doesn't cross the x-axis.
You can calculate the discriminant and see that it's less than zero.
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y=x%5E2%2Bx%2B1
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b%5E2-4ac=%281%29%5E2-4%281%29%281%29=-3%3C0

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Write a quadratic equation with no real solutions.
Explain how you know there are no solutions. Thanks!
:
When the discriminant is less than 0
b^2 - 4*AC < 0
Write an equation where 4*AC is greater than b^2 like
y = 3x^2 + 4x + 5
would be
4^2 - (4*3*5)
16 - 60 = -44, less than 0 so no real solutions