Problema Solution

the product of some negative number and 2 less than 2 times that number is 21. find the number

Answer provided by our tutors

let 'x' be the number and x<0


x*(2x-2) = 21


2x^2 - 2x - 21 = 0


by solving the quadratic equation we find the roots


x1 = - (43^0.5 - 1)/2


x2 = (43^0.5 + 1)/2


x1 = - 2.78


x2 = 3.78


since x<0 the solution is x = - 2.78.