SOLUTION: use the discriminant to determine whether the quadratic equation has two unequal real solutions, a repeated real solution, or no real solution without solving the equation. 7x^2-3

Question 948053: use the discriminant to determine whether the quadratic equation has two unequal real solutions, a repeated real solution, or no real solution without solving the equation.
7x^2-3x+5=0
Found 2 solutions by Alan3354, lwsshak3:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
use the discriminant to determine whether the quadratic equation has two unequal real solutions, a repeated real solution, or no real solution without solving the equation.
7x^2-3x+5=0
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Check the discriminant
Disc = b^2 - 4ac
------
If Disc > 0 --> 2 real different solutions
If Disc = 0 --> 2 real equal solutions
If Disc < 0 --> 2 complex solutions (conjugates)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
use the discriminant to determine whether the quadratic equation has two unequal real solutions, a repeated real solution, or no real solution without solving the equation.
7x^2-3x+5=0
***
a=7, b=-3, c=5
discriminant=b^2-4ac=9-4*7*5=9-140=-131<0
no real solution
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