Respuesta :
The formula of Sridharacharya is used. Then the values of x are 89.744 and 0.256.
What is a quadratic equation?
It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The equation 102x + 11 = (x + 6)² – 2.
We know that the formula
(a + b)² = a² + b² + 2ab
Then we have
102x + 11 = (x + 6)² – 2
102x + 11 = x² + 36 + 12x – 2
102x + 11 = x² + 12x + 34
Take all the terms to the right sides
x² + 12x - 102x + 34 - 11 = 0
x² - 90x + 23 = 0
Then by the formula, we have
x² - 90x + 23 = 0
[tex]\rm x = \dfrac{-(-90 ) \pm \sqrt{(-90)^2 - 4 *1 * 23}}{2*1}[/tex]
x = 89.744, 0.256
Thus, the values of x are 89.744 and 0.256.
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
