Find the discriminant of
2 + 5 + 5 = 0.
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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.
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