Question

X^2 + 14x = -13 the solution of x

Answer 1

X^2+14x=-13 the solution of x is x= -13/16

Answer 2

x1 = -13

x2 = -1

Explanation:

`{x}^(2) + 14x = - 13`

`{x}^(2) + 14x + 13 = 0`

a = 1, b = 14, c = 13

`d = {b}^(2) - 4ac = {14}^(2) - 4 * 1 * 13 = 196 - 52 = 144 > 0`

`x1 = ( - b - √(d) )/(2a) = ( - 14 - 12)/(2) = ( - 26)/(2) = - 13`

`x2 = ( - b + √(d) )/(2a) = ( - 14 + 12)/(2) = ( - 2)/(2) = - 1`