If x = 3, what is the value of 2x² + 4?

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To find the value of the expression ( 2x^2 + 4 ) when ( x = 3 ), you first substitute the value of ( x ) into the expression.

Starting with the substitution:

[

x = 3

]

Now, you insert this value into the expression:

[

2x^2 + 4 = 2(3)^2 + 4

]

Next, calculate ( (3)^2 ):

[

(3)^2 = 9

]

Now substitute that back into the expression:

[

2(9) + 4

]

Multiply ( 2 ) by ( 9 ):

[

18 + 4

]

Finally, add ( 18 ) and ( 4 ):

[

18 + 4 = 22

]

Thus, the value of ( 2x^2 + 4 ) when ( x = 3 ) is ( 22 ), making the answer consistent with the calculation.