Answer this for 30

solve equation using "completing the square":

5n^2-6n-10=15

> n = 3/5 + 1/5 √134 or n = 3/5 + -1/5 √134

Step-by-step explanation:

Let’s solve the equation step-by-step.


Step 1: Add 25 to both sides.

> 5n^2 - 6n - 25 = 0

Step 2: Since the coefficient of 5n^2 is 5, divide both sides by 5.

> 5n^2 - 6n = 25

Step 3: The coefficient of -6/5n is -6/5. Let b = -6/5.

> n^2 + -6n/5 = 5

Then we need to add ( b/2 )^2 = 9/25 to both sides to complete the square.


Add 9/25 to both sides.

> n^2 + -6n/5 + 9/25 = 134/25

Step 4: Factor left side.

> (n-3/5)^2 = 134/25

Step 5: Take square root.

> n-3/5 = + or - √134/25


Step 6: Add 3/5 to both sides.

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step-by-step explanation:

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