Find the value of the discriminant describe the number and type of roots for the equation. then find the exact solution of the following quadratic equation by using the quadratic formula.
x2 - 6x + 25 = 0
a.
the discriminant is -64, so there are 2 complex roots.

x = 1103-05-05-00-00_v2_files/i005.jpg< br /> c.
the discriminant is 34, so there are 2 real and rational roots.

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b.
the discriminant is -64, so there are 2 complex roots

x = 1103-05-05-00-00_v2_files/i0050002. jpg
d.
the discriminant is -34, so there are 2 complex roots

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The  discriminant is -64 and the two complex roots are 3 +4i and 3 - 4i

Given the quadratic equation

From the equation, a = 1, b = -6 and c = 25

Substitute into the formula:

D = (-6)² - 4(1)(25)

D = 36 - 100

D = -64

Get the solution using the general formula expressed as:

Hence the  discriminant is -64 and the two complex roots are 3 +4i and 3 - 4i

Learn more about discriminants here; link

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.