If seven times a number is added to the squares of the number and the result is negative twelve, find the numbers. explain answer.

█ Problem █

If seven times a number is added to the squares of the number and the result is negative twelve, find the numbers.

◼ Let's place the letter x as 'a number' in this problem.
◼ 7x is 7 times a number
◼ x * x = x^2 for square of the number
◼ Set up the equation to x^2 + 7x 
◼ We know the result is going to be -12. x^2 + 7x = -12 
◼ Solve using the quadratic formula. 
◼ x^2 + 7x + 12 = 0 
◼ (x + 3)(x + 4) = 0 
◼ The numbers are -4 and -3

-4 and -3

Hope that helps! ★ If you have further questions about this question or need more help, feel free to comment below or leave me a PM. -UnicornFudge aka Nadia

the law of definite proportions states samples of a compound will always contain the same proportion of elements by mass. in other words, a given compound will always contain the same elements in the same proportions by mass.the law of multiple proportions states when two elements combine with each other to form more than one compound, then the weights of one element that combine with a fixed weight of the other are in a ratio of small whole numbers.

Ais the correct answer