the square of the number is 60 more than 7 times the number. find the number
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Correct question :-
- The square of a negative number is 60 more than four times the negative number find the number.
Answer :-
Let x be the unknown negative number.
The square of the negative number: x²
is = 60 more than 4 times the negative number: 4x + 60
x² = 4x + 60
x² - 4x - 60 = 0
Factors to:
(x-10)(x+6) = 0
x = 10 and -6
Since the number is negative, x = -6
Check:
x² = 4x + 60
(-6)² = 4(-6)+60
36 = -24 + 60
36 = 36
Check!
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