Question

# Solve the equation for x and simplify the answer if possible.Indicate which solving technique is used,Linear,Factor,SRP,QF 2x^2+1=19

Equations and inequalities
Solve the equation for x and simplify the answer if possible.Indicate which solving technique is used,Linear,Factor,SRP,QF
$$\displaystyle{2}{x}^{{2}}+{1}={19}$$

2020-10-27
$$\displaystyle{2}{x}^{{2}}+{1}={19}$$
$$\displaystyle{2}{x}^{{2}}+{1}={19}$$
$$\displaystyle{2}{x}^{{2}}={19}-{1}$$
$$\displaystyle{2}{x}^{{2}}={18}$$
$$\displaystyle{x}^{{2}}={9}$$
$$\displaystyle{\left({x}+{3}\right)}{\left({x}+{3}\right)}$$
Final statement:
The value of x is 3 and -3 and the technique is factor.