SOLUTION: Two times a number plus the square of the number equals 48. Find the number.

Question 932991: Two times a number plus the square of the number equals 48.
Find the number.

Found 2 solutions by TimothyLamb, ptfile:
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
2x + xx = 48
xx + 2x - 48 = 0
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the above quadratic equation is in standard form, with a=1, b=2 and c=-48
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 2 -48
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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the quadratic has two real roots at:
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x = 6
x = -8
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the negative root doesn't fit the problem statement, so use the positive root:
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answer:
the number can be:
x = 6
or
x = -8
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Answer by ptfile(81) (Show Source): You can put this solution on YOUR website!
Let x = the number
Two times a number plus the square of the number equals 48.
2x+x^2=48
x^2+2x-48=0
(x+8)(x-6)=0
x=-8
or
x=6
Substitute x with -8
2(-8)+ (-8)^2=48
-16 + 64=48
48=48
Substitute x with 6
2(6)+ (6)^2=48
12 + 36=48
48=48
The number is either -8 or 6.

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