All categories

2 years ago

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.

You might be interested in

Someone pls help me ill give out brainliest pls don’t answer if you don’t know

12345 [234]

Answer:

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.

For Maximum Limit:

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

$Weight_{max}$ = 92.4 pounds

For Minimum Limit:

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

$Weight_{min}$ = 75.6 pounds

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

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

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