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Concept explainers
To Solve: the
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Answer to Problem 35CT
The solutions of given quadratic equation are
Explanation of Solution
Given information:
A quadratic equation:
Calculations:
First we need to convert given equation in standard quadratic equation
Then we need to get the values of a, b and c and apply product
We have
Adding 60 on both sides, we get
On comparing
Product of value of a and c =
Value of
Now, we need to get two factors of 180 those add upto -41.
We could see
So, split middle term
Now, making it into two groups and factor out Greatest Common Factor (GCF) of each group
Factor out
Factor out -12 from
So,
Factor out the common parenthesis:
Applying zero product rule. Set each factor equal to 0 and solve for x .
Therefore, the solutions of given quadratic equation are
Chapter 5 Solutions
Algebra: Structure And Method, Book 1
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