Answer 1. Discriminant
Given: A quadratic equation
on comparing to the standard quadratic equation ,we get a=1,b=-4 and c=5
Discriminant
<0, which means there will be complex number solutions.
Answer 2. The number of real solutions the equation has,depends on the discriminant
1) If d = 0, then the quadratic equation will have exactly one real number solution (with duplicity.)
2) If d > 0 then the quadratic equation will have exactly two real number solutions.
3) If d < 0 then the quadratic equation will have no real solutions. There will be two complex number solutions.
A value raised by an exponent is the same as that value being multiplied by itself the number of times the exponent is.
(9m)^4 means 9m is multiplied by itself 4 times:
It can be written as: (9m)(9m)(9m)(9m)
Answer:
17
Step-by-step explanation:
Let x represent the number of roses in the first yard and y represent the number of roses in the second yard.
The first yard has 10 fewer roses than the second yard; this gives us
x = y-10
If we transplant 9 roses from the second yard to the first, this adds 9 roses to the first yard, giving us x+9.
This also makes the first yard, now x+9, equal to twice as much as the second yard (after the 9 come out); this gives us 2(y-9) and the equation
x+9 = 2(y-9)
From the first equation, we know that x = y-10; this gives us
y-10+9 = 2(y-9)
Combining like terms on the left, we have
y-1 = 2(y-9)
Using the distributive property on the right,
y-1 = 2(y)-2(9)
y-1 = 2y-18
Add 1 to each side:
y-1+1 = 2y-18+1
y = 2y-17
Subtract 2y from each side:
y-2y = 2y-17-2y
-1y = -17
Divide both sides by -1:
-1y/-1 = -17/-1
y = 17
There are 17 roses in the second yard, and 17-10 = 10 roses in the first one.
Answer:
x=36
Step-by-step explanation:
1600 bc if you use your calculator that’s what you get