Question

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Answer 1

Answer:

The value of the discriminant if 0

There is one x-int at (3/2 , 0)

Step-by-step explanation:

Discriminant equation = $b^2 - 4ac$

Step 1:  Identify a, b, and c

f(x) = −4x^2 + 12x − 9

          a           b      c

So... a = -4, b = 12, c = -9

Step 2:  Plug into the formula

$(12)^2-4(-4)(-9)$

$144 - 144$

$0$

Answer:  The value of the discriminant if 0

Step 3:  Find the x-intercepts

f(x) = −4x^2 + 12x − 9

f(x) = -(2x - 3)^2

2x - 3 + 3 = 0 + 3

2x / 2 = 3 / 2

x = 3/2

Answer:  There is one x-int at (3/2 , 0)

Answer 2

Answer:

d=0  we have one real root (x intercept)

Step-by-step explanation:

−4x^2+12x−9

The discriminant is

b^2 -4ac

where ax^2 +bx+c

so a = -4  b=12 and c=-9

(12)^2 -4(-4) (-9)

144 -144 =0

The discriminant is 0

If d>0  we have 2 real roots

d =0 we have one real root

d<0 we have no real roots

We have one real root