Question

Find the estimates of x^2-x-2=3

Answer 1

`x=(1+√(21))/(2)\approx 2.79\\or\ x=(1-√(21))/(2)\approx -1.79`

Explanation:

Given

Quadratic equation is

`x^2-x-2=3\\x^2-x-5=0`

Roots of the quadratic equation
`ax^2+bx+c=0` are

`x=(-b\pm√(b^2-4ac))/(2a)\\`

So, for the given equation roots are

`x=(1\pm√((-1)^2-4(1)(-5)))/(2\cdot 1)\\x=(1\pm√(21))/(2)\\so, x=(1+√(21))/(2)\approx 2.79\\or\ x=(1-√(21))/(2)\approx -1.79`