Answer:
x = - 7, x = 1
Step-by-step explanation:
Given
x² + 6x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 7 + 9
(x + 3)² = 16 ( take the square root of both sides )
x + 3 = ± = ± 4 ( subtract 3 from both sides )
x = - 3 ± 4
x = - 3 - 4 = - 7
x = - 3 + 4 = 1
Solution set = { - 7, 1 }
Answer:
5 : 2
Step-by-step explanation:
Given that:
Number of gumdrops = 420
Number of chocolate bars = 280
Total Number of candies = 700
To find:
The ratio of candies to chocolate bars = ?
Solution:
First of all, let us discuss the method to find the ratio of any two quantities.
Suppose, we need to find the ratio of two numbers and
.
Then to find the ratio , we need to divide p by q and represent it in the simplest form
such that a and b can not be divided further.
Here, to find the ratio of candies to chocolate bar:
Here, we can simplify the fraction by dividing the numerator and denominator by 10 first:
Now, let us divide the numerator and denominator by 14:
So, the ratio is <em>5 : 2</em>