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2 years ago

What is the discriminant of f(x)=2x^2+8x+16 and the number and type of roots

Mathematics

2 answers:

vfiekz [6]2 years ago

7 0

Answer:

2 imaginary roots

Step-by-step explanation:

The discriminate is the portion of the quadratic equation under the square root

D = b^2 - 4ac

D = 8^2 - 4(2)(16)

D = 64 - 128

D = -64

Since the discriminate is negative the square root will be imaginary

and there will be 2 of them

2 imaginary roots

vekshin12 years ago

7 0

9514 1404 393

Answer:

discriminant: -64
two complex roots

Step-by-step explanation:

The discriminant of ax² +bx +c = 0 is b²-4ac. Here, we have ...

a=2, b=8, c=16

so, the discriminant is 8² -4(2)(16) = 64 -128 = -64

A negative discriminant indicates there are two conjugate complex roots.

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What is the discriminant of f(x)=2x^2+8x+16 and the number and type of roots​

What is the discriminant of f(x)=2x^2+8x+16 and the number and type of roots