Question 823784: One-half the square of a number is equal to 16 more than twice the number. what is the number?
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
x^2/2 = 2x + 16
(1/2)x^2 - 2x - 16 = 0
0.5x^2 - 2x - 16 = 0
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the above quadratic equation is in standard form, with a=0.5, b=-2, and c=-16
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
0.5 -2 -16
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this quadratic has two real roots (the x-intercepts), which are:
x = 8
x = -4
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answer:
two different numbers satisfy the problem statement, namely 8 and -4
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