Completing the Square: results in 2 solutions x^2 + 3x = -2

1 answer:

4 0

Add 2 to both sdies
now if we can facor, then if
xy=0 then x and/or y=0
note:xy=x times y and x(y) =x times y

x^2+3x+2=0
what 2 number multiply to get 2 and add to get 3
the numbers are 2 and 1
(x+2)(x+1)=0
set them to zero
x+2=0
subtract 2
x=-2

x+1=0
subtract 1
x=-1

x could be -1 or -2
x=-2, or -1

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If the unknown value is x, then x = $\frac{14}{4}$ × 6 = 21.

Explanation:

Since it is a double number line with a ratio, all the ratios of one number line to the other will remain equal for all the values along both the number lines. Assume the unknown value to be x.
The ratio of the number on the first number line to the corresponding number on the second number line is calculated to be; $\frac{7}{2}$ = $\frac{14}{4}$ = $\frac{x}{6}$ = $\frac{28}{8}$ = $\frac{35}{10}$ = 3.5. So $\frac{x}{6}$ = 3.5, x = 3.5 × 6 = 21.
We can also calculate x by the following method. As ratios are equal we can directly substitute the value to another ration. So $\frac{14}{4}$ = $\frac{x}{6}$ , x = $\frac{14}{4}$ × 6 = $\frac{84}{4}$ = 21.