If $7=x^2+\frac{1}{x^2}$, then what is the greatest possible value of $x+\frac{1}{x}$?

Its due ! write an equation in which the quadratic expression 2x^2-2x 12 equals 0. show the expression in factored form and explain what your solutions mean for the equation. show your work.

Can someone check if i did this correct. it’s number 4 if you’re wondering.

What is the value of x in the equation 1.5x+4-3=4.5(x-2)?