The square of a negative number is 24 more than 5 times the negative number. Find the number.
x = the number
x² = 5x + 24 {the square of a negative number is 24 more than 5 times the negative number} x² - 5x - 24 = 0 {subtracted 5x and 24 from each side} (x - 8)(x + 3) = 0 {factored into two binomials} x - 8 = 0 or x + 3 = 0 {set each factor equal to zero} x = 8 or x = -3 {solved each equation for x} Remember, you are looking for a negative number. the number is -3 Ask the House
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