The solution to the quadratic equation by completing the square is x = -1 + √3, x = -1 - √3
<h3>What is a quadratic equation?</h3>
Any equation of the form 
where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
We have a quadratic equation:
x² + 2x - 2 = 0
x² + 2x + 1 - 1 - 2 = 0
(x + 1)² - 3 = 0
(x + 1)² = 3
x + 1 = ± √3
x = -1 ± √3
Thus, the solution to the quadratic equation by completing the square is x = -1 + √3, x = -1 - √3
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Answer:
Width of the rectangle = 5 inches
Length of the rectangle = 20 inches
Step-by-step explanation:
Let us assume the width of the rectangle = m in
So, the length of the rectangle = 4 (Width) = (4 m) in
Perimeter of the rectangle = 50 inches
Now, Perimeter of the Rectangle = 2 (LENGTH + WIDTH)
⇒ 2( m + 4m) = 50
or, 2(5m) = 50
⇒ 10m = 50 or, m = 50/10 = 5
⇒ m = 5
So, the width of the rectangle = 5 inches
and the length of the rectangle = 4 m = 4 x 5 = 20 inches
In point form (3,-2)
Equation form
Answer:
Kyle’s fixed monthly salary in dollars is $1800
Step-by-step explanation:
let a be the fixed monthly salary
let b% represent the fixed percentage of sales
a+(b%*15000)=2550
a+(b%*25000)=3050
a+(b/100*15000)=2550
a+150b=2550
a+(b/100*25000)=3050
a+250b=3050
now we have
a+150b=2550
a+250b=3050
let subtract a+150b=2550 from a+250b=3050
100b=500
b=500/100=5%
then a+(5%*15000)=2550
a+750=2550
a=2550-750=$1800
Answer:
y = 3.2
Step-by-step explanation:
Simplifying
5y + -6 = 10
Reorder the terms:
-6 + 5y = 10
Solving
-6 + 5y = 10
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '6' to each side of the equation.
-6 + 6 + 5y = 10 + 6
Combine like terms: -6 + 6 = 0
0 + 5y = 10 + 6
5y = 10 + 6
Combine like terms: 10 + 6 = 16
5y = 16
Divide each side by '5'.
y = 3.2
Simplifying
y = 3.2
