Solve 3x2 + 5x − 8 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used.

Step-by-step explanation:

Hello,

We need to solve the following equation:

It means that the sum of the zeros is   and the product is .

We can easily see that  1 and  does the job.

So the solutions are 1 and .

Another way to see it is to notice that 1 is a trivial solution as 3+5-8=0, so (x-1) is a factor and (we match the terms)

And we find again the same solutions.

Or we use the discriminant.

The discriminant method works in all cases, so you cannot be wrong using it.

The first method based on the sum and the product usually works well for integer solution which is not the case here.

Finding a trivial solution to be able to factorise could be used here as 1 is really a trivial solution.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

b

step-by-step explanation:

calculate the scale factor as the ratio of corresponding sides, image to original, that is

scale factor = = = = 1

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following