When solving using the quadratic formula, what does the discriminant tell you about the nature of the roots?

1 answer:

5 0

The discriminate is the part under the square root of the formula and gives you the amount of solutions

If the discriminate is positive there are 2 solutions, if it is 0 there is a single solution and if it is negative then there is no solution (in the real numbers), because the root is not defined for negative numbers

You might be interested in

Geometry question help

meriva

Answer:

m<BCD is 62 degrees

Step-by-step explanation:

From the diagram given, both triangles are similar triangles and triangle CAB is isosceles in nature;

Hence;

m<CAB = m<CBA

Also

m<CAB + m<CBA = m<BCD

31 + 31 = m<BCD

Swap

m<BCD = 31 + 31

m<BCD = 62 degrees

hence the measure of m<BCD is 62 degrees

4 0

2 years ago

What is a nation's gross domestic product? A. the total value of the goods and services produced in the nation in a month

emmainna [20.7K]

Answer:

Step-by-step explanation:

6 0

3 years ago

A prism has total surface area of 360 m2 and volume of 60 m². If the length, width,

Karolina [17]

Answer:

480

Step-by-step explanation:

I did the test and this is what it said in the review.

3 0

3 years ago

Can anyone help me solve a trigonomic identity problem and also help me how to do it step by step?

dusya [7]

$\bf cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}
\qquad csc(\theta)=\cfrac{1}{sin(\theta)}
\\\\\\
sin^2(\theta)+cos^2(\theta)=1\\\\
-------------------------------\\\\$

$\bf \cfrac{cos(\theta )cot(\theta )}{1-sin(\theta )}-1=csc(\theta )\\\\
-------------------------------\\\\
\cfrac{cos(\theta )\cdot \frac{cos(\theta )}{sin(\theta )}}{1-sin(\theta )}-1\implies \cfrac{\frac{cos^2(\theta )}{sin(\theta )}}{\frac{1-sin(\theta )}{1}}-1\implies 
\cfrac{cos^2(\theta )}{sin(\theta )}\cdot \cfrac{1}{1-sin(\theta )}-1
\\\\\\
\cfrac{cos^2(\theta )}{sin(\theta )[1-sin(\theta )]}-1\implies 
\cfrac{cos^2(\theta )-1[sin(\theta )[1-sin(\theta )]]}{sin(\theta )[1-sin(\theta )]}$

$\bf \cfrac{cos^2(\theta )-1[sin(\theta )-sin^2(\theta )]}{sin(\theta )[1-sin(\theta )]}\implies \cfrac{cos^2(\theta )-sin(\theta )+sin^2(\theta )}{sin(\theta )[1-sin(\theta )]}
\\\\\\
\cfrac{cos^2(\theta )+sin^2(\theta )-sin(\theta )}{sin(\theta )[1-sin(\theta )]}\implies \cfrac{\underline{1-sin(\theta )}}{sin(\theta )\underline{[1-sin(\theta )]}}
\\\\\\
\cfrac{1}{sin(\theta )}\implies csc(\theta )$

7 0

3 years ago

If two of these shapes are randomly chosen, one after the other without replacement, what is the probability that the first will

aleksandrvk [35]

Answer:

$P(T\ n\ S) = \frac{1}{14}$