<u>Question:</u>
Find the number of real number solutions for the equation. x^2 + 5x + 7 = 0
<u>Answer:</u>
The number of real solutions for the equation
is zero
<u>Solution:</u>
For a Quadratic Equation of form :
---- eqn 1
The solution is
Now , the given Quadratic Equation is
---- eqn 2
On comparing Equation (1) and Equation(2), we get
a = 1 , b = 5 and c = 7
In
,
is called the discriminant of the quadratic equation
Its value determines the nature of roots
Now, here are the rules with discriminants:
1) D > 0; there are 2 real solutions in the equation
2) D = 0; there is 1 real solution in the equation
3) D < 0; there are no real solutions in the equation
Now let solve for given equation

Since -3 is less than 0, this means that there are 0 real solutions in this equation.
Answer:
10
Step-by-step explanation:
subtract 5y from both sides of the equation
Answer:

Step-by-step explanation:
Let the numbers be x,y, where x>y
The geometric mean is

The Arithmetic mean is

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

We can write the equation;

or

l
and

or

Make y the subject in equation 2

Put equation 3 in 1





When x=1, y=10-1=9
When x=9, y=10-9=1
Therefore x=9, and y=1
The ratio of the smaller number to the larger number is

Answer:
A
Step-by-step explanation: