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goldenfox [79]
2 years ago
13

Solve for x. Answer in Interval Notation using Grouping Symbols. x^2+9x<36

Mathematics
2 answers:
cricket20 [7]2 years ago
6 0

Answer:

\boxed{(-12,3)}

Step-by-step explanation:

First of all, you must manage this inequality as follows:

x^2+9x-36

So the roots of the polynomial are:

x=-12 \ and \ x=3

So we can write the inequality as follows:

(x-3)(x+12)

               -12     3

x-3       -       -     -     +    +

_________________________

x+12   -       -      +     +     +

_________________________

        +       +      -      +    +

As you can see from this table, the solution of the inequality in Interval Notation using Grouping Symbols is:

\boxed{(-12,3)}

4vir4ik [10]2 years ago
5 0

Answer:

-12

In interval notation: (-12,3)

Step-by-step explanation:

To solve the expression shown in the problem you must:

- Subtract 36 from both sides, then:

x^{2}+9x-36

- Now you must find two number whose sum is 9 and whose produt is 36. These would be -3 and 12. Then, you have:

(x-3)(x+12)

- Therefore the result is:

-12

In interval notation:

(-12,3)

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