1) The solution for m² - 5m - 14 = 0 are x=7 and x=-2.
2)The solution for b² - 4b + 4 = 0 is x=2.
<u>Step-by-step explanation</u>:
The general form of quadratic equation is ax²+bx+c = 0
where
- a is the coefficient of x².
- b is the coefficient of x.
- c is the constant term.
<u>To find the roots :</u>
- Sum of the roots = b
- Product of the roots = c
1) The given quadratic equation is m² - 5m - 14 = 0.
From the above equation, it can be determined that b = -5 and c = -14
The roots are -7 and 2.
- Sum of the roots = -7+2 = -5
- Product of the roots = -7
2 = -14
The solution is given by (x-7) (x+2) = 0.
Therefore, the solutions are x=7 and x= -2.
2) The given quadratic equation is b² - 4b + 4 = 0.
From the above equation, it can be determined that b = -4 and c = 4
The roots are -2 and -2.
- Sum of the roots = -2-2 = -4
- Product of the roots = -2
-2 = 4
The solution is given by (x-2) (x-2) = 0.
Therefore, the solution is x=2.
Answer:
|1/2x - 20| ≥ 2
Step-by-step explanation:
The number is half of two and at least two units away.
Answer:
For the triangle, the area is 7.5 in.
For the trapezoid, the area should be 90 cm
Step-by-step explanation:
The formula for a triangle is A=1/2bh and for a trapezoid it is (a+b)/2×h
Answer:
I think it's A.
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
The distance between x and y on the number line is 2x
Step-by-step explanation:
we know that
If y is the opposite of x
then

The distance between x and y is equal to

