Complete the square to solve 2x^2+20x=10

x = (-5 + √30) and x = (-5 - √30)

Step-by-step explanation:

The given expression is 2x² + 20x = 10

To find the solution of x we will convert this expression into a perfect square.

2(x² + 10x) = 10

x² + 10x = 5

x² + 10x + 25 = 5 + 25

(x + 5)² = 30 [ since (a + b)² = a² + b² + 2ab ]

x + 5 = ±√30

x = (- 5 ± √30)

Therefore solutions are x = (-5 + √30) and x = (-5 - √30)

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step-by-step explanation: