Please help me! Due soon! The quadratic has two real roots. What is the sum of the squares of these roots? Express your answer as a common fraction in lowest terms.

70/9

Step-by-step explanation:

We have the quadratic:

So, let’s find the roots of the quadratic. We will set the expression equal to 0:

Testing for factors, we can see that our quadratic isn’t factorable.

So, we can use the Quadratic Formula. The quadratic formula is given by:

In this case:

Therefore, by substitution:

Evaluate:

Simplify the square root:

Hence:

Reduce:

So, our roots are:

We want to find the sum of the squares of our two roots. So, let’s square each term:

Square. For the numerator, we can use the perfect square trinomial patten where:

Therefore:

Simplify:

Similarly, for the second root, we will have:

So:

Simplify:

Therefore, our sum will be:

Therefore, our final answer is 70/9.

8

step-by-step explanation:

this is a subtraction problem.

10 - 2 = 8

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (