Answer:
what? specify
x2 + x + ___ = 0
Answer:
20*21 = 420 and (-21)*(-20) = 420
Any constant less or equal than 0.25
Step-by-step explanation:
The product of two consecutive integers is 420 can be expressed mathematically as follows:
x*(x+1) = 420
After applying distributive property and subtracting 420 at both sides, we get:
x^2 + x - 420 = 0
In order to factorise, we use the quadratic equation as follows:
Then, 20*21 = 420 and (-21)*(-20) = 420
A quadratic equation with the standard form has a solution to the equation: a*x^2 + b*x + c = 0 if its discriminant is greater or equal than zero. Mathematically:
b^2-4(a)(c) >= 0
Here a = 1 and b = 1; then,
1^2-4(1)(c) >= 0
-4(c) >= -1
c <= -1/-4
c <= 0.25
Step-by-step explanation:
Expand:
Simplify:Addvalues
Collect like terms and simplify
Divide both sides of the equation by12
Simplify
Answer:
x = 1
Step-by-step explanation:
Original Equation:
3(4x - 3) = -4 + 7
Use the distributive property.
3 x 4x = 12x
3 x -3 = -9
Equation:
12x - 9 = -4 + 7
Add 4 to both sides.
12x - 5 = 7
Add 5 to both sides.
12x = 12
Divide both sides by 12
x = 1
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Answer:
The ordered pair (-4,-6) is in the 3rd quadrant
Step-by-step explanation:
If we have an ordered pair (a,b), they would fall in:
Then, taking into account that -4 and -6 are negative numbers, the ordered pair (-4,-6) belong to the 3rd quadrant