Question

what is the discriminant of 5x²-x=3

Answer 1

Answer:

We know that a discriminant is an index to indicate whether the quadratic function has no intersection (D<0), intersect as single point (D=0) or intersect at multiple roots (D>0) with the horizontal axis. Discriminant of a quadratic equation ax

2

+bx+c=0 is D=b

2

−4ac.

In the given quadratic equation x

2

+5x+5=0, a=1,b=5 and c=5, therefore, the discriminant is:

D=b

2

−4ac=(5)

2

−(4×1×5)=25−20=5

Hence, the discriminant is 5.

Step-by-step explanation:

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