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

Anderson Melton 2022-01-23 Answered
How do you find the zeroes for f(x)=x29x70?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Bottisiooq
Answered 2022-01-24 Author has 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
Not exactly what you’re looking for?
Ask My Question
Nevaeh Jensen
Answered 2022-01-25 Author has 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.
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more