Respuesta :
Answer:
X = -4.917
Step-by-step explanation: The goal is when solving for a variable is to get it by itself. First subtract 59 from +59 on the left side and do the same on the right side of the equation. Now you have 12x = -59.
X is multiplied by 12 and to get X by itself we do the opposite, which is divide. Divide 12x by 12 and divide -59 by 12. X = -4.917
Answer:
The value of x will be:
[tex]x=6+\sqrt{23}i,\ and\ x=6-\sqrt{23}i[/tex]
Step-by-step explanation:
We are given a quadratic equation in terms of the variable x as follows:
[tex]x^2-12x+59=0[/tex]
We know that any quadratic equation of the form:
[tex]ax^2+bx+c=0[/tex]
has solution of the type:
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Here,
a= 1 , b= -12 and c=59
Hence, we have the solution as:
[tex]x=\dfrac{-(-12)\pm \sqrt{(-12)^2-4\times 1\times 59}}{2\times 1}\\\\x=\dfrac{12\pm \sqrt{144-236}}{2}\\\\x=\dfrac{12\pm \sqrt{-92}}{2}\\\\x=\dfrac{12\pm 2i\sqrt{23}}{2}\\\\x=6\pm \sqrt{23}i[/tex]
