A quadratic equation is shown below: 4x2 − 12x + 9 = 0

1 answer:

6 0

A)

The discriminant (radicand) is √(b^2-4ac), let us call this "d" for the discriminant.

If:

d<0, there are no real solutions (though there are two imaginary ones)

d=0, there is one real solution

d>0, there are two real solutions.

In this case, d=12^2-4(4)9

d=144-144

d=0

So there is one real solution.

B)

9x^2-30x+25=0

9x^2-15x-15x+25=0

3x(3x-5)-5(3x-5)=0

(3x-5)(3x-5)=0

(3x-5)^2=0

x=5/3

x=1 2/3

You might be interested in

A dance studio teaches students a contemporary dance form. It is observed that the probability of students from this studio beco

Helen [10]

$\mathbb P(X=75)=\dbinom{120}{75}0.69^{75}(1-0.69)^{120-75}\approx0.0239$

or about a 2.4% chance.

5 0

3 years ago

Read 2 more answers

What is 0.787878....... as a fraction

Vlad1618 [11]

Answer:

26/33

Step-by-step explanation:

The process is:

0.787878

78.7878

78/99x then simplify

3 0

3 years ago

How to solve 10 (g+5)=2(g+9)

Ghella [55]

first multiply the outside numbers by both the numbers in the ()

10xg=10g 10x5=50 2xg=2g 2x9=18

then combine like terms

10g+50=2g+18

8g=32

then divide

g=4

4 0

3 years ago

What is the first geometric sequence below

ale4655 [162]

Notice that if you go forward, the common ratio is 5. Each new term is found by mult. the previous term by 5.

If, on the other hand, you go backwards (terms decreasing), then you divide a term to find what the previous term was.

Here, divide 1 by 5 to find the first term. It's 1/5.

5 0

3 years ago

I need help on this problem!!

Svetllana [295]

$3.98*10^{6}(people)*\frac{1 mi^{2}}{1000 people} = 3.98*10^{6}* \frac{1 mi^{2}}{10^{3}} = 3.98*10^{6-3} mi^{2}=

=3.98*10^{3} mi^{2}$

4 0

2 years ago