a We want to calculate the value of the given expression. To do this, let's start from simplifying the expression under the radical symbol. While solving, remember the order of operations.
Notice that this solution is one of the answers of Part A in the previous exercise. For further information about this correlation, please refer to the extra information at the end of Part D.
b We want to calculate the value of the given expression. To do this, let's start from simplifying the expression under the radical symbol. While solving, remember the order of operations.
Notice that this solution is one of the answers of Part A in the previous exercise. For further information about this correlation, please refer to the extra information at the end of Part D.
c We want to calculate the value of the given expression. To do this, let's start from simplifying the expression under the radical symbol. While solving, remember about the order of operations.
Notice that this solution is one of the answers of Part B in the previous exercise. For further information about this correlation, please refer to the extra information at the end of Part D.
d We want to calculate the value of the given expression. To do this, let's start from simplifying the expression under the radical symbol. While solving, remember the order of operations.
Notice that this solution is one of the answers of Part B in the previous exercise.
The correlation explained
To explain the correlation between the solutions of current exercise and the previous exercise, let's recall the given formulas and corresponding equations.
Formula
Equation
- 6+sqrt(6^2-(4)( 1)( - 40))/2 * 1
1x^2+ 6x - 40=0
- 6-sqrt(6^2-(4)( 1)( - 40))/2 * 1
1x^2+ 6x - 40=0
- 13-sqrt(13^2-(4)( 2)( - 24))/2 * 2
2x^2+ 13x - 24=0
- 13+sqrt(13^2-(4)( 2)( - 24))/2 * 2
2x^2+ 13x - 24=0
Looking at the table, we can see that a pattern occurs.
x=- b±sqrt(b^2-4 a c)/2 a
In the above formula a, b, and c correspond with the values of a quadratic equation written in the standard form, ax^2+ bx+ c=0.
This formula is called the Quadratic Formula, and it can be used to find solutions to quadratic equations.
