The factors for given equation are -2/3 and -2.
Rewriting the equation firstly -
3x² + 8x + 4 = 0
ax² + bx + c = 0
Factorizing the equation as per mentioned two rules -
- Sum of the factors should be equal to b (8 in this question)
- Product of the factors should be equal to product of a and c (12 in this question)
6 and 2 are the suitable factors for given expression -
3x² + 6x + 2x + 4 = 0
3x (x + 2) + 2(x + 2) = 0
(3x + 2) (x + 2) = 0
3x + 2 = 0
3x = -2
x = -2/3
x + 2 = 0
x = -2
So, the two factors of equation are -2/3 and -2.
To check the factors, we will keep the value of x in equation -
When x = -2/3
3x² + 8x + 4 = 0
3(-2/3)² + 8(-2/3) + 4 = 0
3(4/9) - 16/3 + 4 = 0
4/3 - 16/3 + 4 = 0
Multiplying the equation with 3/4
1 - 4 + 3 = 0
- 3 + 3 = 0
0 = 0
When x = -2
3x² + 8x + 4 = 0
3(-2)² + 8(-2) + 4 = 0
12 - 16 + 4 = 0
- 4 + 4 = 0
0 = 0
Since for both values of x, Left hand Side and Right Hand Side of equation is same, the two resultant factors are correct.
Learn more about factorizing -
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I believe you are correct. All you have to do now is punch that into your calculator and see what u get for x
Answer:
8800m
Step-by-step explanation:
difference between 8500 and -300 is 8800m
0.5 gallons / 1 day × 16 cups / 1 gallon × 7 days / 1 week
If we convert the scientific notations to standard form it will be: Cheetah: 1.2 x 10^2 = 120 Human: 4 x 10^1 = 40
Now that it’s more simple visually, we can do 120/40 = 3
A cheetah is 3 times faster that a human.