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tensa zangetsu [6.8K]
2 years ago
11

1. How many real solutions does the quadratic equation x?+9x= -8 have?​

Mathematics
1 answer:
likoan [24]2 years ago
5 0

Answer:

This quadratic equation has 2 solutions.

Step-by-step explanation:

I assume the '?' in your question is meant to be power 2 (²), or else it would not be a quadratic equation. You could write it using the superscript version of 2.

We can solve this equation by expressing it in the form: ax² + bx + c

x² + 9x= -8

x² + 9x + 8 = 0

Now if you know the discriminant, you can simply plug in your values of a, b, and c to see how many solutions there are.

In this case, you would not need the discriminant as there are whole-number factors and hence this can simply be factorised.

x² + 9x + 8 = 0

(x + 8)(x + 1) = 0

For this equation to be true (= 0), x can equal -8 OR -1.

Hence, this quadratic equation has 2 solutions.

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12345 [234]

Answer:

B

Step-by-step explanation:

√256=16

√289=17

5 0
3 years ago
Read 2 more answers
Graph triangle RST with vertices R3, 7), S(-5, -2), and T(3, -5) and its image after a reflection over 3​
Alja [10]
Skis dhdjaknsjdkjshdjdkbsjfkdnbskdksndjrjdbndje
6 0
3 years ago
Camilo estimates the weight of the dog . The veterinarian says that the dog weighs 84 pounds . The percent error in Camillo's es
blsea [12.9K]

Answer:

The estimated weight is in the range:

75.6 pounds \leq Weight \leq 92.4 pounds

Step-by-step explanation:

Since, the maximum error is 10%.

Therefore, the maximum and minimum vales will be 10% more and 10% less than 84 pounds, respectively.

<u>For Maximum Limit</u>:

Weight_{max} = (1.1)(84 pounds)

Weight_{max} = <u>92.4 pounds</u>

<u>For Minimum Limit</u>:

Weight_{min} = (0.9)(84 pounds)

Weight_{min} = <u>75.6 pounds</u>

Hence, the estimated weight is in the range:

75.6 pounds \leq Weight \leq 92.4 pounds

5 0
3 years ago
etermine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 3 2 x
nata0808 [166]

Answer:

(32/15, -2/5)

Step-by-step explanation:

(1) ³/₂x   -    2y =  4

(2)   x  +    ⅓y =  2

(3)  3x   -     4y =  8              Multiplied (1) by 2

(4)  3x  +       y =  6              Multiplied (2) by 3

                  5y = -2              Subtracted (3) from (4)

(5)                 y = -⅖             Divided each side by 5

       x + ⅓(-⅖) =  2              Substituted (5) into (2)

       x  -  ²/₁₅    =  2

       x              =  2 + ²/₁₅     Added ²/₁₅ to each side

      x              = 32/15

The system of equations has only one solution: (32/15, -2/5).

3 0
3 years ago
Erwin earns $ 2 , 100 per month. Her deductions amount to 26 % of her paycheck. How much does Erwin take home each month?
Sergeu [11.5K]

Answer:

Credit ⇒ 45

Debit ⇒ $30

Step-by-step explanation:

Credit = $45

Debit = $30

When an account balance increases it means that it has been credited and when it decreases, it has been debited.

The beginning balance here is $0 and the closing balance is $15.

There were 2 transactions, one credit and one debit.

For the closing balance to be $15, the Credit amount must have been $15 more than the Debit amount.

6 0
2 years ago
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