Complete the square to solve 2x^2+20x=1 0

Step-by-step explanation:

Step 1: Subtract 10 from both sides.

2x2+20x−10=10−10

2x2+20x−10=0

For this equation: a=2, b=20, c=-10

2x2+20x+−10=0

Step 2: Use quadratic formula with a=2, b=20, c=-10.

x=

−b±√b2−4ac

2a

x=

−(20)±√(20)2−4(2)(−10)

2(2)

x=

−(20)±√(20)2−4(2)(−10)

2(2)

x=

−20±√480

4

x=−5+√30 or x=−5−√30

x=−5+√30 or x=−5−√30