The sum of two numbers is 5; their product is -14. Find the numbers.
a
x = 5 or 1
b
x = 7 or 1
c
x = 7 or 0
d
x = 7 or − 2
Explanation
Correct Option
dVideo Explanation
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Discussions (3)
OladosuMujeeb
9 years ago
The question is wrongly composed:
the product of the two numbers should be -14
marlianlawa
2 years ago
Let x represent the first number; ----- (I)
Then, the other is (5 − x) , since their sum is 5 and their product is 14 ----- (II)
x(5 − x) = 14 ----- (III)
5x − x2 = 14 ----- (IV)
x2 − 5x − 14 = 0 ----- (V)
In line (IV), OP makes an error when moving the x^2 and 5x to the other side of the equation, hence making the quadratic equation to have Imaginary Roots.
