![chiefkeef5330](/avatars/14976.jpg)
chiefkeef5330
19.10.2021 •
Mathematics
Solve by Factoring
x2+4x-32=0
Solved
Show answers
More tips
- S Style and Beauty How to Get Rid of Peeling Nails: Natural Remedies...
- F Family and Home What is Most Important in Men s Lives?...
- H Health and Medicine Why Wearing a Back Brace Can Be Beneficial During Back Strain?...
- S Sport When and Where Will the 2014 World Cup be Held?...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
- C Computers and Internet How to Learn to Type Fast?...
Answers on questions: Mathematics
- M Mathematics Write an explicit formula for the sequence -4,1, 6, 11,... A. An=-4+5(n+1) B. An=-4+5(n-1) C. An=-4+(n-1) D. An=-4+5n...
- M Mathematics What are the coordinates of the image of vertex R after a reflection across the y-axis? O (-4,3) O (4, -3) O (-3,-4) O (3, 4)...
- M Mathematics Please help I don’t get these two...
- M Mathematics 7, 9, 13, 4, 18, 3, 9, 10, 15, 8, 2, 6, 9...
- M Mathematics Solve the exponential equation using properties. Round to the nearest thousandth. 7x+8-2=33 A x = 6.173 B x = -3.568 C x = -6.173 D x = 2.258 Solve the exponential...
- M Mathematics 54:15 What is the perimeter of rhombus ABCD? 10 units 20 units 277 units C(-5,1) A(1.1) + 477 units -5 -3 -2 -1 1 2 3 4 5 B(-2,-3) Top Top Mark this and return Save...
- M Mathematics How much is 450.8+604.6...
- M Mathematics What is the circumference of a circle that has a radius of 17 cm...
- M Mathematics An expression 20x + 35y What is the greatest common factor...
- M Mathematics Which number line represents the solutions to lx - 5|= 1?...
Ответ:
What adds to 4
What multiples to -32
It would be 8 and -4
(x + 8)(x - 4) = 0
x + 8 = 0, x = -8
x - 4 = 0, x = 4
Solution: x = -8, x = 4
Ответ:
-4,8
Step-by-step explanation:
(This is more of a wordy explanation, incase you don't understand how to do the problem, instead of just giving the answer right away.)
Formula: ax2 + bx + c
x2 + 4x - 32 = 0
Find a pair of numbers that multiply to c and add to b. In this case, which numbers multiply to -32 (c) and add to 4 (b)?
First let's figure out which two numbers multiply to 32 (8 x 4).
BUT, how do we get to -32? Easy! (-8 x 4) and (-4 x 8) both equal to -32, but we need the one that can also add to 4. (-4 + 8 = 4)
-4 x 8 = -32
-4 + 8 = 4
We now have our numbers and can start factoring.
1. Plug in -4 and 8 into the equation:
x2_-4_ + 4x _+8_- 32 = 0
2. Re-write it as so:
(x2 - 4x) + (8x - 32)
3. Factor each individually, taking out as much as you can:
Let's start with (x2 - 4x) first.
We can take 2x out of the equation which will give us: (x - 2)
Now lets do (8x - 32).
We can take 8 out of the equation which will give us: (x - 2)
We are now left with (x - 2) + (2x + 8)
You are done!
(Here's what it should look like on a piece of paper):
x2 + 4x - 32 = 0
-4 x 8 = -32
-4 + 8 = 32
(x2 - 4x) + (8x - 32)
2x (x2 - 4x) + 8 (8x - 32)
(x - 2) (x - 2)
Final
(x - 2) (2x + 8)
I hope this helped you understand it a bit better! :)
It's honestly very straight forward. The way I wrote it made it look so complicated lol. I was just giving a detailed explanation. Also, the school system will most likely make you use the ax2 + bx + c formula.
Ответ:
Equation of the circle:
( x - ( -2) )² + ( y - (-3) )² = (√2/4)²
(x + 2)² + (y + 3)² = 1/8 (Answer D)