See how well you have learned the vocabulary in this chapter.
The quadratic formula is
A. a formula to find the number of solutions of a
B. a formula to find the type of solutions of a quadratic equation
C. the standard form of a quadratic equation
D. a general formula for solving any quadratic equation.
The correct choice for the statement, ‘the quadratic formula is’ from the following choices,
A. a formula to find the number of solutions of a quadratic equation.
B. a formula to find the type of solutions of a quadratic equation.
C. the standard form of a quadratic equation.
D. a general formula for solving any quadratic equation.
Answer to Problem 1TYWP
Solution:
The correct choice for the statement, ‘the quadratic formula is’ is D. a general formula for solving any quadratic equation.
Explanation of Solution
Given Information:
The statement is ‘the quadratic formula is’. And the choices are,
A. a formula to find the number of solutions of a quadratic equation.
B. a formula to find the type of solutions of a quadratic equation.
C. the standard form of a quadratic equation.
D. a general formula for solving any quadratic equation.
Consider the statement, ‘the quadratic formula is’.
The quadratic formula is used as a general formula for solving any quadratic equation, using the formula,
For example, consider the equation,
Rewrite the equation,
Substitute 1 for a, 5 for b and
Thus, the solution set is
So, it can be seen that the solution to the equation is found using the quadratic formula and not the number of solutions, thus, option A. is incorrect.
It can also be observed that the type of solution is not found using the formula so, the option B. is incorrect.
And, it doesn’t give the general form of a quadratic equation, so, option C. is incorrect, too.
Hence, the choice D is correct.
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Chapter 11 Solutions
Beginning and Intermediate Algebra (6th Edition)
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