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Consider the quadratic function f(x)= 9x^2+30x+25=0

Part a: find a value of the discriminant for the function.

A) 3
B) 6
C) 25
D) 0

Consider the quadratic function fx 9x230x250 Part a find a value of the discriminant for the function A 3 B 6 C 25 D 0 class=

Respuesta :

theleangreenbean

Answer:

D) 0

There is 1 real solution.

Step-by-step explanation:

Hi there!

[tex]f(x)= 9x^2+30x+25=0[/tex]

This is written in standard form:

[tex]f(x)=ax^2+bx+c[/tex]

This means:

a=9

b=30

c=25

The discriminant states:

[tex]D=b^2-4ac[/tex]

If D>0, there are 2 real solutions.

If D=0, there is 1 real solution.

If D<0, there are 2 complex solutions.

Plug in the values:

[tex]D=30^2-4(9)(25)\\D=0[/tex]

Therefore, there is 1 real solution.

I hope this helps!

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