1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Serhud [2]
3 years ago
13

Use factoring to solve x^2-2x-35=0

Mathematics
2 answers:
deff fn [24]3 years ago
8 0

Answer:

The solution set of the quadratic equation is

x = {7, -5}

Step-by-step explanation:

Given the quadratic equation

$ x^2 - 2x -35 = 0 $

We need to factor this equation

So you need two numbers such that

a + b = -2

and

a×b = -35

How about -7 and 5?

-7 + 5 = -2

-2 = -2

and

-7×5 = -35

-35 = -35

(x - 7)(x + 5) = 0

(x - 7) = 0

x = 7

and

(x + 5) = 0

x = -5

Therefore, the solution set of the quadratic equation is

x = {7, -5}

Verification:

Plug 7 into the quadratic equation

x^2 - 2x -35 = 0 \\\\(7)^2 - 2(7) -35 = 0 \\\\49 - 14 - 35 = 0 \\\\49 - 49 = 0\\\\0 = 0

Plug -5 into the quadratic equation

x^2 - 2x -35 = 0 \\\\(-5)^2 - 2(-5) -35 = 0 \\\\25 + 10 - 35 = 0 \\\\35 - 35 = 0\\\\0 = 0

mrs_skeptik [129]3 years ago
7 0

Answer:

I'm sorry I don't have an answer but for all future math work you should download photomath on your phone it's rly good

You might be interested in
What is the difference :8/7-1/3<br> -31/21<br> --7/4<br> -17/21<br> -4/7
Tema [17]

8/7-1/3

Make both fractions have the same common denominator

24/21 - 7/21

Subtract the numerators while keeping the denominator the same

Final Answer: C. 17/21

7 0
3 years ago
Read 2 more answers
90° clockwise rotation<br> Help please
maria [59]

Answer:

E' (-2,5)

F' (-3,1)

G' (-2,-1)

H' (0,3)

Step-by-step explanation:

The rule for 90 degree clockwise rotation is (h,k) -> (k,-h). This means flip the x-value's sign and then switch x and y's position. For example E (-5,-2), first flip x's sign (5,-2) and then switch x and y's places (-2,5).

4 0
3 years ago
Connor makes 3 batches of muffins . Each batch has 12 muffins . Connor eats 2 muffins . What is m, the number of muffins Connor
Dafna1 [17]
The answer is 34 :)
7 0
3 years ago
How much of the circle is shaded? Write your answer as a fraction in simplest form. 1/3 and 1/7
Ludmilka [50]

Answer:

11/21

Step-by-step explanation:

1/3=7/21

1/7=3/21

(7+3)/21=10/21

21/21-10/21=11/21

Thus 11/21 of the circle is shaded.

6 0
2 years ago
Lillian and Jacob work at a dry cleaners ironing shirts. Lillian can iron 25 shirts per hour, and Jacob can iron 20 shirts per h
vladimir1956 [14]

Answer:

Lillian worked 7h and Jacob worked 6h

Step-by-step explanation:

the number of hours Lillian worked are x (h)

the number of  hours Jacob worked are y (h)

                 (0 < x,y < 13)

=> Lilian ironed: 25x (shirts)

    Jacob ỉroned: 20y (shirts)

because Lillian and Jacob worked a combined 13 hours and ironed 295 shirts, we have:

\left \{ {{x+y=13} \atop {25x+20y=295}} \right. => \left \{ {{x=7} \atop {y=6}} \right.

so Lillian worked 7h and Jacob worked 6h

8 0
2 years ago
Other questions:
  • X^2-49=0 solve using the quadratic formula plz help asap
    5·1 answer
  • I need help fast please I need it quckily
    11·1 answer
  • An observer (O) spots a plane flying at a 35° angle to his horizontal line of sight. If the plane is flying at an altitude of 17
    14·2 answers
  • Find the area of the triangle below.
    10·1 answer
  • which expression represents the perimeter of the rectangle above? (3x-3)(3x-1) a.6x+2 b.12x-8 c.6x-4 d.12x+2
    15·2 answers
  • Jennifer is 20 miles north of her house, and she is driving north on the highway at a rate of 55 miles per hour whats the slpoe
    8·1 answer
  • Sandra hikes 9/10 mile every 30 minutes,or 1/2 hour. How many miles does she hike each hour?​
    9·1 answer
  • Elan walked 12 miles. Then she walked 0.25 that distance. How far did she walk all together? Select ALL that apply
    5·2 answers
  • The sum of two numbers is 956. One is 94 less than 6 times the other. write an equation for the first sentence and second. Then
    14·1 answer
  • We use the properties of equality to rewrite equations and solve equations for a variable. These properties allow us to maintain
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!