All categories

2 years ago

What are the solutions to X2 + 8X + 7 = 0?

Mathematics

2 answers:

8_murik_8 [283]2 years ago

5 0

Answer:

x = - 7, x = - 1

Step-by-step explanation:

Given

x² + 8x + 7 = 0

Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)

The factors are + 7 and + 1 , since

7 × 1 = 7 and 7 + 1 = 8 , then

(x + 7)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x + 1 = 0 ⇒ x = - 1

Kipish [7]2 years ago

3 0

Answer:

$x=-1,-7$

Step-by-step explanation:

$x^2+8x+7=0$ where a $\neq$ 0 so a = 1 b = 8 c = 7

Quadratic Formula: $x=-b\frac{\sqrt{b^2-4ac} }{2a}$

$x=-8\frac{\sqrt{8^2-4(1)(7)} }{2(1)}$

$x=-8\frac{\sqrt{64-28} }{2}$ Evaluate the exponent and multiply 4ac

$x=-8\frac{\sqrt{36} }{2}$ Subtract b^2 - 4ac and multiply 2a

$x=-8\frac{\sqrt{6} }{2}$ Solve for the sqrt root of 35

x = - 8 ± 6/2 =

x = - 8 + 6/2 = -1

x = - 8 - 6/2 = -7

You might be interested in

Please help me I would really appreciate it.

Karo-lina-s [1.5K]

Given:

$\overline{AB}\cong \overline {CD},\overline{BC}\cong \overline {DA}$

To prove:

$\Delta CDA\cong \Delta ABC$

Proof:

In $\Delta CDA\text{ and } \Delta ABC$ ,

$\overline{AB}\cong \overline {CD}$ because Given

$\overline{BC}\cong \overline {DA}$ because Given

$\overline{AC}\cong \overline {AC}$ because Reflexive property.

Corresponding sides of both triangles are congruent. So,

$\Delta CDA\cong \Delta ABC$ because SSS

Therefore, the required missing values are: Given, $\overline{BC}\cong \overline {DA}$ , Reflexive property , $\Delta CDA\cong \Delta ABC$ , SSS respectively.

5 0

2 years ago

A piece of rope 27m long is cut into two pieces so that one piece is four-fifths as long as the other. Find the length of each p

nata0808 [166]

Answer:

x+.8x=27

1.8x=27

x=15

4/5(15)=12

So 15 and 12

Step-by-step explanation:

8 0

2 years ago

A company is planning to manufacture snowboards. The fixed costs are $ 100$100 per day and total costs are $55005500 per day at

Rama09 [41]

Answer:

The equation for total cost function is

C(x)=100+270x

Step-by-step explanation:

Variable cost per per board =total cost per day-fixed cost per day/daily output

total cost per day is $5,500

fixed cost per day is $100

20 boards are produced per day

variable cost per board=($5,500-$100)/20=$270 per day

Total cost C(x)=fixed cost per day+ variable per board*number of daily output

Since daily output is represented also by x ,total cost function is given thus:

C(x)=100+270x

4 0

3 years ago

Find the distance of the point (3,4) from the midpoint of the line joining (8,10) and (4,6)

Elis [28]

Answer:

Distance between point $(3,4)$ and midpoint of line joining $(8,10)$ and $(4,6)$ = $5$ units.

Step-by-step explanation:

Given:

Points:

$A(3,4)\\B(8,10)\\C(4,6)$

To find distance from point A to midpoint of BC.

Midpoint M of BC:

$M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\$

$M=(\frac{8+4}{2},\frac{10+6}{2})\\$ [Plugging in points $B(8,10)\ and\ C(4,6)$ ]

$M=(\frac{12}{2},\frac{16}{2})\\$

$M=(6,8)\\$

Distance between A and M:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\$

$D=\sqrt{(6-3)^2+(8-4)^2} \\$ [Plugging in points $A(3,4)\ and\ M(6,8)$ ]

$D=\sqrt{(3)^2+(4)^2} \\$

$D=\sqrt{9+16} \\$

$D=\sqrt{25} \\$

$D=\pm5$

Since distance is always positive ∴ $D= 5$ units

4 0

3 years ago

Using the pie chart below, if 300 students were polled on their favorite ice cream flavor, how many more students preferred stra

Paladinen [302]

Since there are 300 students you have to use proportions to solve the percents. First for strawberry you need to set up a proportion such as x/300=30/100 to show you are trying to find 30%of 300. Then you must cross multiply so 300 times 30 and 100 times x. Then you have 9,000 and 100, so you divide 9,000 by 100 and then you get 90 which is the portion of kids who liked strawberry flavored ice cream. You should do the exact same thing for vanilla ice cream like this: x/300=29/100 but since you’re finding 29% you need to put a 29 over 100. Then you cross multiply and do 300 times 29 and do x times 100. Which makes you get 8,700 and 100, and then you divide 8,700 by 100 and get 87 for vanilla ice cream. Lastly you need to subtract 87 from 90 since it asked how many more students liked strawberry than vanilla: 90-87=

Can you please mark branliest? Thank you!

3 0

2 years ago