The approximate soluton of the equation 102x + 11 = (x + 6)² – 2 is 0.6. Then the correct option is E.
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 quadratic equation is given below.
102x + 11 = (x + 6)² – 2
Open square, we have
102x + 11 = x² + 12x + 36 – 2
x² – 90x + 23 = 0
By the formula, we have the value of x
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{90 \pm \sqrt{(-90)^2}-4*1*23}{2*1}\\\\x = 89.74, 0.256[/tex]
The approximate soluton of the equation 102x + 11 = (x + 6)² – 2 is 0.6. Then the correct option is E.
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
