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tester [92]
3 years ago
11

Solve x^2+2x=4 for x by completing the square

Mathematics
1 answer:
Wittaler [7]3 years ago
3 0
<h2>X² + 2x = 4</h2><h2 />

When completing the square, the goal is to create

a perfect square trinomial on the left side of the equation.

The number used to create one will come from

half the coefficient of the middle term squared.

In this case, that's half of 2 squared or 1 squared, which is 1.

So we add 1 to both sides giving us x² + 2x + 1 = 5.

From here, we set this as a binomial squared.

The first term is an x and the second term will

be half the coefficient of the middle term squared.

So we have (x + 1)² = 5.

Now square root both sides and remember to use plus or minus.

So we have x + 1 = ±√5.

Now subtract 1 form both sides to get x = -1 ± √5.

You might be interested in
What is the equation of a horizontal line passing through the point (−7, 5)? (1 point)
netineya [11]
If it’s a horizontal line, we focus on the y-coordinates.

(-7,5)

-7 is a x-coordinate
5 is a y-coordinate


The answer is y = 5
6 0
3 years ago
I don’t know, someone help please.
NeTakaya

Answer:

Radius: 4

Center: (-5,4)

Step-by-step explanation:

To find the radius, you take the square root of what the equation is equal to (in this case that is 16)

To find the center, you set what is in the parenthesis equal to 0 so:

x+5=0 becomes x=-5

y-4=0 becomes y=4

Hope this helped!

3 0
3 years ago
If the solution to y=4x+3 is (4,16) what would the steps needed to get (4,16) be?
Ainat [17]
<span>Simplifying x4 = 16
 Solving x4 = 16
 Solving for variable 'x'.
  Move all terms containing x to the left, all other terms to the right.
Simplifying x4 = 16
 Reorder the terms: -16 + x4 = 16 + -16
 Combine like terms: 16 + -16 = 0 -16 + x4 = 0
 Factor a difference between two squares. (4 + x2)(-4 + x2) = 0
 Factor a difference between two squares. (4 + x2)((2 + x)(-2 + x)) = 0
Subproblem 1

Set the factor '(4 + x2)' equal to zero and attempt to solve:
 Simplifying 4 + x2 = 0 Solving 4 + x2 = 0
 Move all terms containing x to the left, all other terms to the right.
 Add '-4' to each side of the equation. 4 + -4 + x2 = 0 + -4
 Combine like terms: 4 + -4 = 0 0 + x2 = 0 + -4 x2 = 0 + -4
 Combine like terms: 0 + -4 = -4 x2 = -4
 Simplifying x2 = -4
The solution to this equation could not be determined.
 This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve:
 Simplifying 2 + x = 0 Solving 2 + x = 0
 Move all terms containing x to the left, all other terms to the right.
 Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2
 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Sub-problem 3

Set the factor '(-2 + x)' equal to zero and attempt to solve:
 Simplifying -2 + x = 0 Solving -2 + x = 0
 Move all terms containing x to the left, all other terms to the right.
 Add '2' to each side of the equation. -2 + 2 + x = 0 + 2
 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2
 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Solutionx = {-2, 2}</span>
8 0
3 years ago
WILL GET BRAINLEST WILL HAVE TI ZOOM IN THI SHIW WORK TOO PLSSS ASAP
Lynna [10]

Answer:

sin = 1.333333

cos = 0.75

8 0
3 years ago
Which is the answer and how did you solve it?
motikmotik
Its pretty simple

9x-7y = 22
x + 3y = -24

(9x-7y = 22)
-9(x + 3y = -24)
= -9x -27y = 216
+ 9x-7y = 22
= -34y = 238
= / -34 = 238/-34
y = -7

now plug -7 in one of the equation
x + 3(-7) = -24
x -21 = -24
+21. +21
x = -3

so answer is x = -3 and y = -7

3 0
3 years ago
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