Is there a real number whose square is −1? a. Is there a real number x such that ? b. Does there exist such that x2 = −1?
1 answer:
Answer:
a.
b.a real number x
Step-by-step explanation:
We are given that statement.
We have to rewrite the given statement using variable or variables.
Statement:Is there a real number whose square is -1.
a.Let x bet the real number
The square of real number x written as
According to question
Therefore,
Is there a real number x such that
b.Does there exist a real number x such that
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Answer:
Step-by-step explanation:
The sum of the ages of a Mother and her son is 78 , three years ago the mother is five times as old as the son, what is their present ages?
To solve this , let the age of the mother be x and the age of the son be y , from the first statement :
x + y = 78
Three years ago , the mother will be x- 3 and the son will be y - 3 , from the second statement:
x - 3 = 5 ( y-3)
x- 3 = 5y - 15
x - 5y = -12
The resulting equations are
x + y = 78
x - 5y = -12
This is called a simultaneous linear equation , that means it is a linear equation.
The side of a square is xcm , if the difference between the area and the perimeter is 12 , find the legth of its side.
Interpretation:
The formula for the area of a square is and the perimeter is 4l , from the question , we have
- 4x = 12
This is not a linear equation , it is simply a quadratic equation , so the situation is non linear