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29 Dec 2020, 22:53
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
85% (00:49) correct
15%
(00:56)
wrong
based on 72
sessions
History
Date
Time
Result
Not Attempted Yet
Which of the following states the complete solution for the quadratic equation x^2 – 4x = 5 ?
(A) x = –5 or x = 1
(B) x = –2 or x = 3
(C) x = –1 or x = 5
(D) x = 1 or x = 4
(E) x = 1 or x = 5
(A) x = –5 or x = 1
(B) x = –2 or x = 3
(C) x = –1 or x = 5
(D) x = 1 or x = 4
(E) x = 1 or x = 5
30 Dec 2020, 14:58
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Solution
Given
In this question, we are given that
- • A quadratic equation of x: \(x^2 – 4x = 5\)
To find
We need to determine
- • The solution for x
Approach and Working out
We can factorize the given equation to determine x, as follows:
- • \(x^2 – 4x – 5 = 0\)
Or, \(x^2 – 5x + x – 5 = 0\)
Or, x (x – 5) + 1 (x – 5) = 0
Or, (x – 5) (x + 1) = 0
Or, x = -1 or 5
Thus, option C is the correct answer.
Correct Answer: Option C
