A quadratic equation given roots is solved by using the relation
from the question,
sum of the root will be
and also, product of the roots will
be
now substituting the sum of roots and product of roots into the equation
as the quadratic equation for the root 3/4 and -4
Answer: So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.
hope this helps
Answer:
The two numbers are 37.5 and 25.5
Step-by-step explanation:
Comment
Let the two numbers be x and y
Equations
x + y = 63
x - y = 12
Solution
Add the two equations. The ys cancel out.
2x = 75 Divide by 2
2x/2 = 75/3 Do the division
x = 37.5
Now use one of the given equations to solve for y
x + y = 63
x = 37.5
37.5 + y = 63 Subtract 37.5 from both sides
37.5-37.5+y= 63 - 37.5 Collect the like terms on both sides
y = 25.5
Check
x - y =? 12
37.5-25.5 =? 12
12 = 12
