Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Explore in-depth answers to your questions from a knowledgeable community of experts across different fields. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
Simplify the equation into a proper form to complete the square.
2n^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
2n^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
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
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
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.