Which quadratic equation has no real roots?
2 answers:
Answer:
The first choice and the last have no real roots.
Step-by-step explanation:
For an equation to have no real roots the value of the discriminant ( b^2 - 4ac) will be negative.
Working out the values:
1. D = (-2)^2 - 4* -1*-6 = -20 so it has no real roots.
2. D = (3)^2 - 4* -2* 4 = 41 so it does have real roots.
3. D = (1)^2 - 4* 2*-6 = 49 so real roots.
4. D = (-1)^2 - 4* 2*3 = -23 so no real roots
Answer:
A and D
Step-by-step explanation:
By finding the roots of all the equations, we see that options A and D are the only ones that require an imaginary number in order to solve
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