Answer:
(x+5)² = 16
Solution: -1 and -9
Step-by-step explanation:
Given the quadratic equation X^2+10x+22=13
Subtract 22 from both sides
X^2+10x+22-22=13-22
x^2+10x = -9
Complete the square
Add the square of half of coefficient of x to both sides
coefficient of x = 10
half of coefficient of x = 10/2 = 5
square of half of coefficient of x= 5² = 25
Add 25 to both sides
x²+10x + 25 = -9+25
(x+5)² = 16
Hence the required equation is (x+5)² = 16
(x+5)² = 16
square root both sides
√(x+5)² = √16
x+5 = √16
x +5 = ±4
x = +4 - 5 and -4-5
x = -1 and -9
Hence the solution to the equation is -1 and -9
3a - 6b = 3 • (a - 2b)<span> =
a-2b/4</span>
Answer:
Y= -5+ 1/4x
There are other ways to write too
Answer:
The length of the rectangle (L) = 7m
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the width of the rectangle = 25 m
Given that the area of the rectangle = 175 m²
Area of the rectangle = length × width
175 = L × 25
length(L) = 
L = 7 m
<u><em>Final answer:-</em></u>
The length of the rectangle (L) = 7m
