Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
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
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.