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3 years ago

PLEASE HELP Solve. x^2+9x+2=0

Mathematics

1 answer:

Nataliya [291]3 years ago

8 0

Answer:

x = (1/2) (-9 ± √73)

Step-by-step explanation:

Using completing the square method

x²+9x+2=0

x²+9x = -2 (complete the square by adding (9/2)² to both sides)

x²+9x + (9/2)² = -2 + (9/2)²

( x + (9/2) )² = -2+ (9/2)²

( x + (9/2) )² = -2+ (81/4)

( x + (9/2) )² = 73/4

x + (9/2) = ± √(73/4)

x + (9/2) = ± √(73) / 2

x = -(9/2) ± √(73) / 2 (factorize out (1/2) )

x = (1/2) (-9 ± √73)

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