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Adelyn
Mathematics
18 April, 23:50
2n^2+12n+10=0 complete the square
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Isabella Callahan
19 April, 00:07
0
Simplify the equation into a proper form to complete the square.
2 n^2 + 12n=-10
Divide each term in the equation by 2.
n^2 + 6n=-5
To create a trinomial square on the left-hand side of the equation, find a value that is equal to the square of half of b, the coefficient of n.
(b/2) ^2 = (3) ^2
Add the term to each side of the equation.
n^2 + 6n + (3) ^2 = - 5 + (3) ^2
Simplify the equation.
n^2 + 6n+9=4
Factor the perfect trinomial square into (n+3) ^2.
(n+3) ^2 = 4
Solve the equation for n.
n=-1,-5
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Kenzie Myers
19 April, 00:16
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2n² + 12n + 10 = 0
n = - 12 + / - √ (12² - 4 (2) (10))
2 (2)
n = - 12 + / - √ (144 - 80)
4
n = - 12 + / - √64
4
n = - 12 + / - 8
4
n = - 12 + 8 n = - 12 - 8
4 4
n = - 4 n = - 20
4 4
n = - 1 n = - 5
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