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

Answer:

x=-5+√30 or x=-5-√30