How do you find the zeroes for f(x)=x^{2}-9x-70?

Anderson Melton

Anderson Melton

Answered question

2022-01-23

How do you find the zeroes for f(x)=x29x70?

Answer & Explanation

Bottisiooq

Bottisiooq

Beginner2022-01-24Added 9 answers

Step 1
We need to think of two numbers, that, when I add them, sum up to -9, and when I multiply them, have a product of -70. Since the product is negative, we know the signs must be different.
Through some thought, we arrive at -14 and 5 as our two numbers, because
14+5=9 and
14×5=70
Thus, our equation is as follows:
(x14)(x+5)=0
To find the zeroes, we take the opposite signs to get
x=14 and x=5
Nevaeh Jensen

Nevaeh Jensen

Beginner2022-01-25Added 14 answers

Step 1
f(x)=x29x70=0
To solve f(x), find 2 numbers (real roots) knowing the sum (b=9) and the product (c=70). They are: - 5 and 14.
Note . This method avoids proceeding the lengthy factoring by grouping and solving the 2 binomials.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?