Question 1143994
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Let the number be x.<br>
One-half the number squared is (1/2)x^2.<br>
16 more than twice the number is 2x+16.<br>
Write and solve the equation that says those two expressions are equal:<br>
{{{(1/2)x^2 = 2x+16}}}<br>
It's a quadratic equation. Get everything on one side of the equation (with 0 on the other side) and try to solve using factoring; if it doesn't factor (or you can't see how it factors), use the quadratic formula.<br>
(If you know the basics about solving quadratic equations, you will start by multiplying the whole equation by 2 to get rid of the fractions....)